459945336015 has 128 divisors (see below), whose sum is σ = 940401100800. Its totient is φ = 211107409920.

The previous prime is 459945336001. The next prime is 459945336031. The reversal of 459945336015 is 510633549954.

459945336015 is a `hidden beast` number, since 4 + 5 + 9 + 94 + 533 + 6 + 0 + 15 = 666.

It is not a de Polignac number, because 459945336015 - 2¹⁸ = 459945073871 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3243621 + ... + 3382449.

It is an arithmetic number, because the mean of its divisors is an integer number (7346883600).

Almost surely, 2^459945336015 is an apocalyptic number.

459945336015 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

459945336015 is an abundant number, since it is smaller than the sum of its proper divisors (480455764785).

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

459945336015 is a wasteful number, since it uses less digits than its factorization.

459945336015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138974 (or 138968 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 459945336015 in words is "four hundred fifty-nine billion, nine hundred forty-five million, three hundred thirty-six thousand, fifteen".