15147990521664 has 448 divisors, whose sum is σ = 53835650641920. Its totient is φ = 3630319534080.

The previous prime is 15147990521659. The next prime is 15147990521669. The reversal of 15147990521664 is 46612509974151.

It is an interprime number because it is at equal distance from previous prime (15147990521659) and next prime (15147990521669).

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

It is a junction number, because it is equal to n+sod(n) for n = 15147990521598 and 15147990521607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15147990521669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481040832 + ... + 481072320.

It is an arithmetic number, because the mean of its divisors is an integer number (120168863040).

Almost surely, 2^{15147990521664} is an apocalyptic number.

15147990521664 is a gapful number since it is divisible by the number (14) 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 15147990521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26917825320960).

15147990521664 is an abundant number, since it is smaller than the sum of its proper divisors (38687660120256).

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

15147990521664 is a wasteful number, since it uses less digits than its factorization.

15147990521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34038 (or 34028 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 15147990521664 in words is "fifteen trillion, one hundred forty-seven billion, nine hundred ninety million, five hundred twenty-one thousand, six hundred sixty-four".