166811637888 has 384 divisors, whose sum is σ = 563537694720. Its totient is φ = 46370838528.

The previous prime is 166811637877. The next prime is 166811637893. The reversal of 166811637888 is 888736118661.

166811637888 is a `hidden beast` number, since 16 + 68 + 116 + 378 + 88 = 666.

166811637888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×166811637888² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106452081 + ... + 106453647.

It is an arithmetic number, because the mean of its divisors is an integer number (1467546080).

Almost surely, 2^166811637888 is an apocalyptic number.

166811637888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166811637888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281768847360).

166811637888 is an abundant number, since it is smaller than the sum of its proper divisors (396726056832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166811637888 is a wasteful number, since it uses less digits than its factorization.

166811637888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1929 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 166811637888 in words is "one hundred sixty-six billion, eight hundred eleven million, six hundred thirty-seven thousand, eight hundred eighty-eight".