15132978904967 has 48 divisors (see below), whose sum is σ = 19234312231680. Its totient is φ = 11773331337600.

The previous prime is 15132978904961. The next prime is 15132978905003. The reversal of 15132978904967 is 76940987923151.

It is not a de Polignac number, because 15132978904967 - 2²⁶ = 15132911796103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 15132978904967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15132978904961) 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, 2172090518 + ... + 2172097484.

It is an arithmetic number, because the mean of its divisors is an integer number (400714838160).

It is a 1-persistent number, because it is pandigital, but 2⋅15132978904967 = 30265957809934 is not.

Almost surely, 2^{15132978904967} is an apocalyptic number.

15132978904967 is a deficient number, since it is larger than the sum of its proper divisors (4101333326713).

15132978904967 is a wasteful number, since it uses less digits than its factorization.

15132978904967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12772 (or 12765 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 71.

The spelling of 15132978904967 in words is "fifteen trillion, one hundred thirty-two billion, nine hundred seventy-eight million, nine hundred four thousand, nine hundred sixty-seven".