161456140800 has 180 divisors, whose sum is σ = 577807371570. Its totient is φ = 43054940160.

The previous prime is 161456140789. The next prime is 161456140897. The reversal of 161456140800 is 8041654161.

161456140800 is a `hidden beast` number, since 1 + 6 + 14 + 561 + 4 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 149342056704 + 12114084096 = 386448^2 + 110064^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 17 ways as a sum of consecutive naturals, for example, 585565 + ... + 815964.

Almost surely, 2^161456140800 is an apocalyptic number.

161456140800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161456140800 is an abundant number, since it is smaller than the sum of its proper divisors (416351230770).

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

161456140800 is a wasteful number, since it uses less digits than its factorization.

161456140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401563 (or 1401539 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 161456140800 its reverse (8041654161), we get a palindrome (169497794961).

The spelling of 161456140800 in words is "one hundred sixty-one billion, four hundred fifty-six million, one hundred forty thousand, eight hundred".