13292649216 has 432 divisors, whose sum is σ = 49344841728. Its totient is φ = 3339878400.

The previous prime is 13292649169. The next prime is 13292649217. The reversal of 13292649216 is 61294629231.

13292649216 is a `hidden beast` number, since 132 + 9 + 26 + 492 + 1 + 6 = 666.

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 (13292649217) 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, 5498440 + ... + 5500856.

Almost surely, 2^13292649216 is an apocalyptic number.

13292649216 is a gapful number since it is divisible by the number (16) 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 13292649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24672420864).

13292649216 is an abundant number, since it is smaller than the sum of its proper divisors (36052192512).

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

13292649216 is a wasteful number, since it uses less digits than its factorization.

13292649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2471 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 13292649216 in words is "thirteen billion, two hundred ninety-two million, six hundred forty-nine thousand, two hundred sixteen".