15129984016 has 135 divisors (see below), whose sum is σ = 35835058623. Its totient is φ = 6169880640.

The previous prime is 15129984011. The next prime is 15129984017. The reversal of 15129984016 is 61048992151.

It is a happy number.

The square root of 15129984016 is 123004.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (15129984011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79214481 + ... + 79214671.

Almost surely, 2^15129984016 is an apocalyptic number.

15129984016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15129984016 is the 123004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15129984016

15129984016 is an abundant number, since it is smaller than the sum of its proper divisors (20705074607).

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

15129984016 is an equidigital number, since it uses as much as digits as its factorization.

15129984016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 15129984016 in words is "fifteen billion, one hundred twenty-nine million, nine hundred eighty-four thousand, sixteen".