15336177648864 has 192 divisors, whose sum is σ = 42851866337280. Its totient is φ = 4785851105280.

The previous prime is 15336177648829. The next prime is 15336177648907. The reversal of 15336177648864 is 46884677163351.

It is a congruent number.

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, 347272417 + ... + 347316575.

It is an arithmetic number, because the mean of its divisors is an integer number (223186803840).

Almost surely, 2^{15336177648864} 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 15336177648864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21425933168640).

15336177648864 is an abundant number, since it is smaller than the sum of its proper divisors (27515688688416).

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

15336177648864 is a wasteful number, since it uses less digits than its factorization.

15336177648864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45313 (or 45305 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 69.

The spelling of 15336177648864 in words is "fifteen trillion, three hundred thirty-six billion, one hundred seventy-seven million, six hundred forty-eight thousand, eight hundred sixty-four".