15171616768 has 192 divisors, whose sum is σ = 38550308400. Its totient is φ = 5904138240.

The previous prime is 15171616763. The next prime is 15171616781. The reversal of 15171616768 is 86761617151.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (15171616763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17661523 + ... + 17662381.

Almost surely, 2^15171616768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15171616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275154200).

15171616768 is an abundant number, since it is smaller than the sum of its proper divisors (23378691632).

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

15171616768 is an frugal number, since it uses more digits than its factorization.

15171616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 879 counting only the distinct ones).

The product of its digits is 423360, while the sum is 49.

The spelling of 15171616768 in words is "fifteen billion, one hundred seventy-one million, six hundred sixteen thousand, seven hundred sixty-eight".