15114644064 has 240 divisors, whose sum is σ = 48014654688. Its totient is φ = 4636735488.

The previous prime is 15114644063. The next prime is 15114644071. The reversal of 15114644064 is 46044641151.

15114644064 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 4 + 644 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15114644063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20790069 + ... + 20790795.

Almost surely, 2^15114644064 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 15114644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24007327344).

15114644064 is an abundant number, since it is smaller than the sum of its proper divisors (32900010624).

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

15114644064 is a wasteful number, since it uses less digits than its factorization.

15114644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 15114644064 in words is "fifteen billion, one hundred fourteen million, six hundred forty-four thousand, sixty-four".