15268524990016 has 189 divisors, whose sum is σ = 31984687898289. Its totient is φ = 7231555957248.

The previous prime is 15268524990011. The next prime is 15268524990023. The reversal of 15268524990016 is 61009942586251.

The square root of 15268524990016 is 3907496.

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

It can be written as a sum of positive squares in only one way, i.e., 13662485838400 + 1606039151616 = 3696280^2 + 1267296^2 .

It is not an unprimeable number, because it can be changed into a prime (15268524990011) 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, 49734608935 + ... + 49734609241.

It is an arithmetic number, because the mean of its divisors is an integer number (169231152901).

Almost surely, 2^{15268524990016} is an apocalyptic number.

15268524990016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15268524990016 is the 3907496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15268524990016

15268524990016 is an abundant number, since it is smaller than the sum of its proper divisors (16716162908273).

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

15268524990016 is an frugal number, since it uses more digits than its factorization.

15268524990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 15268524990016 in words is "fifteen trillion, two hundred sixty-eight billion, five hundred twenty-four million, nine hundred ninety thousand, sixteen".