457872562811664 has 2880 divisors, whose sum is σ = 1986007340728320. Its totient is φ = 94721384448000.

The previous prime is 457872562811519. The next prime is 457872562811711. The reversal of 457872562811664 is 466118265278754.

457872562811664 is a `hidden beast` number, since 4 + 5 + 7 + 87 + 256 + 281 + 16 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 457872562811592 and 457872562811601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 24536326494 + ... + 24536345154.

Almost surely, 2^{457872562811664} is an apocalyptic number.

457872562811664 is a gapful number since it is divisible by the number (44) 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 457872562811664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993003670364160).

457872562811664 is an abundant number, since it is smaller than the sum of its proper divisors (1528134777916656).

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

457872562811664 is a wasteful number, since it uses less digits than its factorization.

457872562811664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18790 (or 18764 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 72.

The spelling of 457872562811664 in words is "four hundred fifty-seven trillion, eight hundred seventy-two billion, five hundred sixty-two million, eight hundred eleven thousand, six hundred sixty-four".