313232677632 has 432 divisors, whose sum is σ = 1066179179520. Its totient is φ = 86588080128.

The previous prime is 313232677631. The next prime is 313232677651. The reversal of 313232677632 is 236776232313.

It is a happy number.

313232677632 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 3 + 2 + 6 + 7 + 7 + 632 = 666.

It is a super-2 number, since 2×313232677632² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313232677631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67461103 + ... + 67465745.

It is an arithmetic number, because the mean of its divisors is an integer number (2468007360).

Almost surely, 2^313232677632 is an apocalyptic number.

313232677632 is a gapful number since it is divisible by the number (32) 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 313232677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533089589760).

313232677632 is an abundant number, since it is smaller than the sum of its proper divisors (752946501888).

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

313232677632 is a wasteful number, since it uses less digits than its factorization.

313232677632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4791 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The spelling of 313232677632 in words is "three hundred thirteen billion, two hundred thirty-two million, six hundred seventy-seven thousand, six hundred thirty-two".