461062775382160 has 320 divisors, whose sum is σ = 1250021239377408. Its totient is φ = 154873029722112.

The previous prime is 461062775382071. The next prime is 461062775382173. The reversal of 461062775382160 is 61283577260164.

It is a junction number, because it is equal to n+sod(n) for n = 461062775382095 and 461062775382104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92157258219 + ... + 92157263221.

Almost surely, 2^{461062775382160} is an apocalyptic number.

461062775382160 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 461062775382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625010619688704).

461062775382160 is an abundant number, since it is smaller than the sum of its proper divisors (788958463995248).

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

461062775382160 is a wasteful number, since it uses less digits than its factorization.

461062775382160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8922 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 461062775382160 in words is "four hundred sixty-one trillion, sixty-two billion, seven hundred seventy-five million, three hundred eighty-two thousand, one hundred sixty".