161147750400 has 2160 divisors, whose sum is σ = 759968429220. Its totient is φ = 33443020800.

The previous prime is 161147750389. The next prime is 161147750411. The reversal of 161147750400 is 4057741161.

161147750400 is a `hidden beast` number, since 1 + 6 + 1 + 147 + 7 + 504 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161147750389) and next prime (161147750411).

It can be written as a sum of positive squares in 6 ways, for example, as 3418039296 + 157729711104 = 58464^2 + 397152^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2641766370 + ... + 2641766430.

Almost surely, 2^161147750400 is an apocalyptic number.

161147750400 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 161147750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379984214610).

161147750400 is an abundant number, since it is smaller than the sum of its proper divisors (598820678820).

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

161147750400 is a wasteful number, since it uses less digits than its factorization.

161147750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 161147750400 in words is "one hundred sixty-one billion, one hundred forty-seven million, seven hundred fifty thousand, four hundred".