468635080815 has 128 divisors (see below), whose sum is σ = 947371299840. Its totient is φ = 217774656000.

The previous prime is 468635080787. The next prime is 468635080841. The reversal of 468635080815 is 518080536864.

468635080815 is a `hidden beast` number, since 4 + 68 + 63 + 508 + 0 + 8 + 15 = 666.

It is not a de Polignac number, because 468635080815 - 2⁶ = 468635080751 is a prime.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3617665 + ... + 3744965.

It is an arithmetic number, because the mean of its divisors is an integer number (7401338280).

Almost surely, 2^468635080815 is an apocalyptic number.

468635080815 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

468635080815 is an abundant number, since it is smaller than the sum of its proper divisors (478736219025).

468635080815 is a wasteful number, since it uses less digits than its factorization.

468635080815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127430 (or 127424 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 468635080815 in words is "four hundred sixty-eight billion, six hundred thirty-five million, eighty thousand, eight hundred fifteen".