15117665472 has 448 divisors, whose sum is σ = 55202775040. Its totient is φ = 3950456832.

The previous prime is 15117665467. The next prime is 15117665539. The reversal of 15117665472 is 27456671151.

15117665472 is a `hidden beast` number, since 1 + 5 + 1 + 176 + 6 + 5 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19970118 + ... + 19970874.

It is an arithmetic number, because the mean of its divisors is an integer number (123220480).

Almost surely, 2^15117665472 is an apocalyptic number.

15117665472 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 15117665472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27601387520).

15117665472 is an abundant number, since it is smaller than the sum of its proper divisors (40085109568).

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

15117665472 is a wasteful number, since it uses less digits than its factorization.

15117665472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 15117665472 in words is "fifteen billion, one hundred seventeen million, six hundred sixty-five thousand, four hundred seventy-two".