461460346534160 has 80 divisors (see below), whose sum is σ = 1107485840338416. Its totient is φ = 178683726219264.

The previous prime is 461460346534139. The next prime is 461460346534207. The reversal of 461460346534160 is 61435643064164.

It can be written as a sum of positive squares in 8 ways, for example, as 242789125582864 + 218671220951296 = 15581692^2 + 14787536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395099027 + ... + 396265266.

Almost surely, 2^{461460346534160} is an apocalyptic number.

461460346534160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461460346534160 is an abundant number, since it is smaller than the sum of its proper divisors (646025493804256).

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

461460346534160 is a wasteful number, since it uses less digits than its factorization.

461460346534160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791364540 (or 791364534 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 53.

The spelling of 461460346534160 in words is "four hundred sixty-one trillion, four hundred sixty billion, three hundred forty-six million, five hundred thirty-four thousand, one hundred sixty".