15001664380096 has 224 divisors, whose sum is σ = 32343903694080. Its totient is φ = 6877937664000.

The previous prime is 15001664380081. The next prime is 15001664380123. The reversal of 15001664380096 is 69008346610051.

It is a super-2 number, since 2×15001664380096² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2717197816 + ... + 2717203336.

Almost surely, 2^{15001664380096} is an apocalyptic number.

15001664380096 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 15001664380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16171951847040).

15001664380096 is an abundant number, since it is smaller than the sum of its proper divisors (17342239313984).

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

15001664380096 is a wasteful number, since it uses less digits than its factorization.

15001664380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 15001664380096 in words is "fifteen trillion, one billion, six hundred sixty-four million, three hundred eighty thousand, ninety-six".