461012456772 has 288 divisors, whose sum is σ = 1459194347520. Its totient is φ = 124467477120.

The previous prime is 461012456761. The next prime is 461012456791. The reversal of 461012456772 is 277654210164.

461012456772 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 12 + 4 + 567 + 72 = 666.

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, 9248997 + ... + 9298707.

It is an arithmetic number, because the mean of its divisors is an integer number (5066647040).

Almost surely, 2^461012456772 is an apocalyptic number.

461012456772 is a gapful number since it is divisible by the number (42) 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 461012456772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729597173760).

461012456772 is an abundant number, since it is smaller than the sum of its proper divisors (998181890748).

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

461012456772 is a wasteful number, since it uses less digits than its factorization.

461012456772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49813 (or 49799 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 461012456772 in words is "four hundred sixty-one billion, twelve million, four hundred fifty-six thousand, seven hundred seventy-two".