166909091400 has 192 divisors, whose sum is σ = 575722080000. Its totient is φ = 44446152960.

The previous prime is 166909091389. The next prime is 166909091413. The reversal of 166909091400 is 4190909661.

166909091400 is a `hidden beast` number, since 16 + 69 + 0 + 90 + 91 + 400 = 666.

166909091400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3861106 + ... + 3904094.

It is an arithmetic number, because the mean of its divisors is an integer number (2998552500).

Almost surely, 2^166909091400 is an apocalyptic number.

166909091400 is a gapful number since it is divisible by the number (10) 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 166909091400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287861040000).

166909091400 is an abundant number, since it is smaller than the sum of its proper divisors (408812988600).

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

166909091400 is a wasteful number, since it uses less digits than its factorization.

166909091400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43733 (or 43718 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 166909091400 in words is "one hundred sixty-six billion, nine hundred nine million, ninety-one thousand, four hundred".