15248668864 has 224 divisors, whose sum is σ = 37261873152. Its totient is φ = 6096384000.

The previous prime is 15248668859. The next prime is 15248668909. The reversal of 15248668864 is 46886684251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 15248668799 and 15248668808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20143174 + ... + 20143930.

It is an arithmetic number, because the mean of its divisors is an integer number (166347648).

Almost surely, 2^15248668864 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 15248668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630936576).

15248668864 is an abundant number, since it is smaller than the sum of its proper divisors (22013204288).

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

15248668864 is a wasteful number, since it uses less digits than its factorization.

15248668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 885 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 58.

The spelling of 15248668864 in words is "fifteen billion, two hundred forty-eight million, six hundred sixty-eight thousand, eight hundred sixty-four".