161546594400 has 864 divisors, whose sum is σ = 611025891840. Its totient is φ = 41632081920.

The previous prime is 161546594387. The next prime is 161546594423. The reversal of 161546594400 is 4495645161.

161546594400 is a `hidden beast` number, since 1 + 6 + 1 + 54 + 6 + 594 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×161546594400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1028959122 + ... + 1028959278.

Almost surely, 2^161546594400 is an apocalyptic number.

161546594400 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 161546594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305512945920).

161546594400 is an abundant number, since it is smaller than the sum of its proper divisors (449479297440).

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

161546594400 is a wasteful number, since it uses less digits than its factorization.

161546594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 161546594400 in words is "one hundred sixty-one billion, five hundred forty-six million, five hundred ninety-four thousand, four hundred".