15331696091136 has 504 divisors, whose sum is σ = 46429605161940. Its totient is φ = 5061744525312.

The previous prime is 15331696091111. The next prime is 15331696091137. The reversal of 15331696091136 is 63119069613351.

It is a happy number.

15331696091136 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 16 + 9 + 609 + 1 + 13 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12831755636736 + 2499940454400 = 3582144^2 + 1581120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (15331696091137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5858499300 + ... + 5858501916.

Almost surely, 2^{15331696091136} is an apocalyptic number.

15331696091136 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 15331696091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23214802580970).

15331696091136 is an abundant number, since it is smaller than the sum of its proper divisors (31097909070804).

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

15331696091136 is an frugal number, since it uses more digits than its factorization.

15331696091136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 15331696091136 in words is "fifteen trillion, three hundred thirty-one billion, six hundred ninety-six million, ninety-one thousand, one hundred thirty-six".