13631496516 has 243 divisors, whose sum is σ = 39879300279. Its totient is φ = 3922934400.

The previous prime is 13631496511. The next prime is 13631496523. The reversal of 13631496516 is 61569413631.

The square root of 13631496516 is 116754.

It is a perfect power (a square), and thus also a powerful number.

13631496516 is a `hidden beast` number, since 1 + 3 + 631 + 4 + 9 + 6 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4090114116 + 9541382400 = 63954^2 + 97680^2 .

It is not an unprimeable number, because it can be changed into a prime (13631496511) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 223467126 + ... + 223467186.

Almost surely, 2^13631496516 is an apocalyptic number.

13631496516 is the 116754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13631496516

13631496516 is an abundant number, since it is smaller than the sum of its proper divisors (26247803763).

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

13631496516 is a wasteful number, since it uses less digits than its factorization.

13631496516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 13631496516 in words is "thirteen billion, six hundred thirty-one million, four hundred ninety-six thousand, five hundred sixteen".