461014457756160 has 960 divisors, whose sum is σ = 1852666421760000. Its totient is φ = 95729281105920.

The previous prime is 461014457756123. The next prime is 461014457756231. The reversal of 461014457756160 is 61657754410164.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 461014457756160.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9750911401 + ... + 9750958679.

It is an arithmetic number, because the mean of its divisors is an integer number (1929860856000).

Almost surely, 2^{461014457756160} is an apocalyptic number.

461014457756160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461014457756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926333210880000).

461014457756160 is an abundant number, since it is smaller than the sum of its proper divisors (1391651964003840).

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

461014457756160 is a wasteful number, since it uses less digits than its factorization.

461014457756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48833 (or 48806 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 461014457756160 in words is "four hundred sixty-one trillion, fourteen billion, four hundred fifty-seven million, seven hundred fifty-six thousand, one hundred sixty".