13151964672 has 480 divisors, whose sum is σ = 47922361344. Its totient is φ = 3373056000.

The previous prime is 13151964647. The next prime is 13151964701. The reversal of 13151964672 is 27646915131.

13151964672 is a `hidden beast` number, since 1 + 3 + 1 + 519 + 64 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35836233 + ... + 35836599.

Almost surely, 2^13151964672 is an apocalyptic number.

13151964672 is a gapful number since it is divisible by the number (12) 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 13151964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23961180672).

13151964672 is an abundant number, since it is smaller than the sum of its proper divisors (34770396672).

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

13151964672 is a wasteful number, since it uses less digits than its factorization.

13151964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 13151964672 in words is "thirteen billion, one hundred fifty-one million, nine hundred sixty-four thousand, six hundred seventy-two".