15314641920 has 352 divisors, whose sum is σ = 54885801600. Its totient is φ = 4049436672.

The previous prime is 15314641919. The next prime is 15314641949. The reversal of 15314641920 is 2914641351.

It is a happy number.

15314641920 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 4 + 641 + 9 + 2 + 0 = 666.

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

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, 19214962 + ... + 19215758.

Almost surely, 2^15314641920 is an apocalyptic number.

15314641920 is a gapful number since it is divisible by the number (10) 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 15314641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27442900800).

15314641920 is an abundant number, since it is smaller than the sum of its proper divisors (39571159680).

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

15314641920 is a wasteful number, since it uses less digits than its factorization.

15314641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 15314641920 in words is "fifteen billion, three hundred fourteen million, six hundred forty-one thousand, nine hundred twenty".