459503923104 has 72 divisors (see below), whose sum is σ = 1306793359872. Its totient is φ = 153158705280.

The previous prime is 459503923091. The next prime is 459503923127. The reversal of 459503923104 is 401329305954.

459503923104 is a `hidden beast` number, since 4 + 59 + 503 + 92 + 3 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×459503923104² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459503923104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6057249 + ... + 6132639.

It is an arithmetic number, because the mean of its divisors is an integer number (18149907776).

Almost surely, 2^459503923104 is an apocalyptic number.

It is an amenable number.

459503923104 is an abundant number, since it is smaller than the sum of its proper divisors (847289436768).

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

459503923104 is a wasteful number, since it uses less digits than its factorization.

459503923104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96570 (or 96559 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 459503923104 in words is "four hundred fifty-nine billion, five hundred three million, nine hundred twenty-three thousand, one hundred four".