457137785664 has 336 divisors, whose sum is σ = 1577872058880. Its totient is φ = 123613516800.

The previous prime is 457137785647. The next prime is 457137785729. The reversal of 457137785664 is 466587731754.

457137785664 is a `hidden beast` number, since 4 + 57 + 13 + 7 + 7 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98285739 + ... + 98290389.

Almost surely, 2^457137785664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457137785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788936029440).

457137785664 is an abundant number, since it is smaller than the sum of its proper divisors (1120734273216).

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

457137785664 is a wasteful number, since it uses less digits than its factorization.

457137785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5965 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 457137785664 in words is "four hundred fifty-seven billion, one hundred thirty-seven million, seven hundred eighty-five thousand, six hundred sixty-four".