456061881600 has 2160 divisors, whose sum is σ = 1957856355840. Its totient is φ = 103912243200.

The previous prime is 456061881547. The next prime is 456061881617. The reversal of 456061881600 is 6188160654.

456061881600 is a `hidden beast` number, since 4 + 560 + 6 + 1 + 8 + 81 + 6 + 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 239 ways as a sum of consecutive naturals, for example, 7729862371 + ... + 7729862429.

Almost surely, 2^456061881600 is an apocalyptic number.

456061881600 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 456061881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978928177920).

456061881600 is an abundant number, since it is smaller than the sum of its proper divisors (1501794474240).

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

456061881600 is a wasteful number, since it uses less digits than its factorization.

456061881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 456061881600 in words is "four hundred fifty-six billion, sixty-one million, eight hundred eighty-one thousand, six hundred".