15914190768 has 160 divisors (see below), whose sum is σ = 48379046400. Its totient is φ = 4412620800.

The previous prime is 15914190767. The next prime is 15914190779. The reversal of 15914190768 is 86709141951.

It is a super-2 number, since 2×15914190768² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15914190768.

It is not an unprimeable number, because it can be changed into a prime (15914190763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5580543 + ... + 5583393.

It is an arithmetic number, because the mean of its divisors is an integer number (302369040).

Almost surely, 2^15914190768 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 15914190768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24189523200).

15914190768 is an abundant number, since it is smaller than the sum of its proper divisors (32464855632).

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

15914190768 is a wasteful number, since it uses less digits than its factorization.

15914190768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 51.

The spelling of 15914190768 in words is "fifteen billion, nine hundred fourteen million, one hundred ninety thousand, seven hundred sixty-eight".