63113431136 has 96 divisors (see below), whose sum is σ = 143490473280. Its totient is φ = 26766360576.

The previous prime is 63113431111. The next prime is 63113431151.

63113431136 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63113431136² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31666556 + ... + 31668548.

It is an arithmetic number, because the mean of its divisors is an integer number (1494692430).

Almost surely, 2^63113431136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63113431136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71745236640).

63113431136 is an abundant number, since it is smaller than the sum of its proper divisors (80377042144).

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

63113431136 is a wasteful number, since it uses less digits than its factorization.

63113431136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3408 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The spelling of 63113431136 in words is "sixty-three billion, one hundred thirteen million, four hundred thirty-one thousand, one hundred thirty-six".