15301996416 has 640 divisors, whose sum is σ = 55450137600. Its totient is φ = 4094779392.

The previous prime is 15301996349. The next prime is 15301996441. The reversal of 15301996416 is 61469910351.

15301996416 is a `hidden beast` number, since 1 + 530 + 19 + 96 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148563021 + ... + 148563123.

It is an arithmetic number, because the mean of its divisors is an integer number (86640840).

Almost surely, 2^15301996416 is an apocalyptic number.

15301996416 is a gapful number since it is divisible by the number (16) 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 15301996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27725068800).

15301996416 is an abundant number, since it is smaller than the sum of its proper divisors (40148141184).

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

15301996416 is a wasteful number, since it uses less digits than its factorization.

15301996416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 15301996416 in words is "fifteen billion, three hundred one million, nine hundred ninety-six thousand, four hundred sixteen".