15364914808950 has 192 divisors, whose sum is σ = 48391522744320. Its totient is φ = 3511673118720.

The previous prime is 15364914808913. The next prime is 15364914808963. The reversal of 15364914808950 is 5980841946351.

15364914808950 is a `hidden beast` number, since 1 + 5 + 3 + 64 + 9 + 1 + 480 + 8 + 95 + 0 = 666.

15364914808950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118315254 + ... + 118445046.

It is an arithmetic number, because the mean of its divisors is an integer number (252039180960).

Almost surely, 2^{15364914808950} is an apocalyptic number.

15364914808950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15364914808950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24195761372160).

15364914808950 is an abundant number, since it is smaller than the sum of its proper divisors (33026607935370).

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

15364914808950 is a wasteful number, since it uses less digits than its factorization.

15364914808950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142348 (or 142337 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 15364914808950 in words is "fifteen trillion, three hundred sixty-four billion, nine hundred fourteen million, eight hundred eight thousand, nine hundred fifty".