461476521105264 has 120 divisors (see below), whose sum is σ = 1477598453360640. Its totient is φ = 131706962699904.

The previous prime is 461476521105143. The next prime is 461476521105323. The reversal of 461476521105264 is 462501125674164.

461476521105264 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 7 + 6 + 521 + 1 + 0 + 52 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 461476521105264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248156352 + ... + 250009055.

It is an arithmetic number, because the mean of its divisors is an integer number (12313320444672).

Almost surely, 2^{461476521105264} is an apocalyptic number.

It is an amenable number.

461476521105264 is an abundant number, since it is smaller than the sum of its proper divisors (1016121932255376).

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

461476521105264 is a wasteful number, since it uses less digits than its factorization.

461476521105264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498166347 (or 498166338 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 461476521105264 in words is "four hundred sixty-one trillion, four hundred seventy-six billion, five hundred twenty-one million, one hundred five thousand, two hundred sixty-four".