481313693952 has 1296 divisors, whose sum is σ = 1832064998400. Its totient is φ = 120301977600.

The previous prime is 481313693909. The next prime is 481313693953. The reversal of 481313693952 is 259396313184.

481313693952 is a `hidden beast` number, since 481 + 3 + 13 + 69 + 3 + 95 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (481313693953) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3230293174 + ... + 3230293322.

It is an arithmetic number, because the mean of its divisors is an integer number (1413630400).

Almost surely, 2^481313693952 is an apocalyptic number.

481313693952 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 481313693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916032499200).

481313693952 is an abundant number, since it is smaller than the sum of its proper divisors (1350751304448).

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

481313693952 is a wasteful number, since it uses less digits than its factorization.

481313693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 276 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 481313693952 in words is "four hundred eighty-one billion, three hundred thirteen million, six hundred ninety-three thousand, nine hundred fifty-two".