634313481516 has 240 divisors, whose sum is σ = 1951364812320. Its totient is φ = 177134791680.

The previous prime is 634313481491. The next prime is 634313481521. The reversal of 634313481516 is 615184313436.

634313481516 is a `hidden beast` number, since 6 + 3 + 43 + 13 + 4 + 81 + 516 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28575750 + ... + 28597938.

It is an arithmetic number, because the mean of its divisors is an integer number (8130686718).

Almost surely, 2^634313481516 is an apocalyptic number.

634313481516 is a gapful number since it is divisible by the number (66) 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 634313481516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975682406160).

634313481516 is an abundant number, since it is smaller than the sum of its proper divisors (1317051330804).

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

634313481516 is a wasteful number, since it uses less digits than its factorization.

634313481516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22846 (or 22835 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 634313481516 in words is "six hundred thirty-four billion, three hundred thirteen million, four hundred eighty-one thousand, five hundred sixteen".