313632000000 has 1260 divisors, whose sum is σ = 1287109208385. Its totient is φ = 76032000000.

The previous prime is 313631999987. The next prime is 313632000001. The reversal of 313632000000 is 236313.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

313632000000 is a `hidden beast` number, since 31 + 3 + 632 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53483037696 + 260148962304 = 231264^2 + 510048^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=396000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313632000001) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 28511999995 + ... + 28512000005.

Almost surely, 2^313632000000 is an apocalyptic number.

313632000000 is a gapful number since it is divisible by the number (30) 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 313632000000

313632000000 is an abundant number, since it is smaller than the sum of its proper divisors (973477208385).

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

313632000000 is an frugal number, since it uses more digits than its factorization.

313632000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Multiplying 313632000000 by its sum of digits (18), we get a square (5645376000000 = 2376000²).

313632000000 divided by its sum of digits (18) gives a square (17424000000 = 132000²).

Adding to 313632000000 its reverse (236313), we get a palindrome (313632236313).

The spelling of 313632000000 in words is "three hundred thirteen billion, six hundred thirty-two million", and thus it is an aban number.