13952156988672 has 324 divisors, whose sum is σ = 48528433183776. Its totient is φ = 3986329697280.

The previous prime is 13952156988641. The next prime is 13952156988767. The reversal of 13952156988672 is 27688965125931.

13952156988672 is a `hidden beast` number, since 1 + 3 + 9 + 52 + 1 + 569 + 8 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×13952156988672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13952156988672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 759597 + ... + 5336787.

Almost surely, 2^{13952156988672} is an apocalyptic number.

13952156988672 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 13952156988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264216591888).

13952156988672 is an abundant number, since it is smaller than the sum of its proper divisors (34576276195104).

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

13952156988672 is an frugal number, since it uses more digits than its factorization.

13952156988672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577236 (or 4577203 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 13952156988672 in words is "thirteen trillion, nine hundred fifty-two billion, one hundred fifty-six million, nine hundred eighty-eight thousand, six hundred seventy-two".