13531964836992 has 256 divisors, whose sum is σ = 42111104670720. Its totient is φ = 3770048655360.

The previous prime is 13531964836961. The next prime is 13531964837009. The reversal of 13531964836992 is 29963846913531.

It is a super-2 number, since 2×13531964836992² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22930267 + ... + 23512997.

It is an arithmetic number, because the mean of its divisors is an integer number (164496502620).

Almost surely, 2^{13531964836992} is an apocalyptic number.

13531964836992 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 13531964836992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055552335360).

13531964836992 is an abundant number, since it is smaller than the sum of its proper divisors (28579139833728).

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

13531964836992 is a wasteful number, since it uses less digits than its factorization.

13531964836992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582971 (or 582959 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 69.

The spelling of 13531964836992 in words is "thirteen trillion, five hundred thirty-one billion, nine hundred sixty-four million, eight hundred thirty-six thousand, nine hundred ninety-two".