166850813952 has 448 divisors, whose sum is σ = 511569004800. Its totient is φ = 54392684544.

The previous prime is 166850813929. The next prime is 166850813963. The reversal of 166850813952 is 259318058661.

166850813952 is a `hidden beast` number, since 16 + 68 + 508 + 13 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200365499 + ... + 1200365637.

It is an arithmetic number, because the mean of its divisors is an integer number (1141895100).

Almost surely, 2^166850813952 is an apocalyptic number.

166850813952 is a gapful number since it is divisible by the number (12) 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 166850813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255784502400).

166850813952 is an abundant number, since it is smaller than the sum of its proper divisors (344718190848).

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

166850813952 is an frugal number, since it uses more digits than its factorization.

166850813952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 166850813952 in words is "one hundred sixty-six billion, eight hundred fifty million, eight hundred thirteen thousand, nine hundred fifty-two".