459872137728 has 120 divisors (see below), whose sum is σ = 1370036169216. Its totient is φ = 148345804800.

The previous prime is 459872137693. The next prime is 459872137729. The reversal of 459872137728 is 827731278954.

459872137728 is a `hidden beast` number, since 4 + 598 + 7 + 2 + 1 + 37 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×459872137728² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459872137729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1466808 + ... + 1752503.

Almost surely, 2^459872137728 is an apocalyptic number.

459872137728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

459872137728 is an abundant number, since it is smaller than the sum of its proper divisors (910164031488).

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

459872137728 is a wasteful number, since it uses less digits than its factorization.

459872137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219366 (or 3219347 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 459872137728 in words is "four hundred fifty-nine billion, eight hundred seventy-two million, one hundred thirty-seven thousand, seven hundred twenty-eight".