456161932800 has 2160 divisors, whose sum is σ = 2045005954992. Its totient is φ = 100329062400.

The previous prime is 456161932789. The next prime is 456161932907. The reversal of 456161932800 is 8239161654.

456161932800 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 619 + 3 + 28 + 0 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6248793564 + ... + 6248793636.

Almost surely, 2^456161932800 is an apocalyptic number.

456161932800 is a gapful number since it is divisible by the number (40) 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 456161932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022502977496).

456161932800 is an abundant number, since it is smaller than the sum of its proper divisors (1588844022192).

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

456161932800 is an equidigital number, since it uses as much as digits as its factorization.

456161932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 456161932800 in words is "four hundred fifty-six billion, one hundred sixty-one million, nine hundred thirty-two thousand, eight hundred".