15314002000000 has 336 divisors, whose sum is σ = 41917608564930. Its totient is φ = 5568640000000.

The previous prime is 15314001999931. The next prime is 15314002000013. The reversal of 15314002000000 is 20041351.

It can be written as a sum of positive squares in 7 ways, for example, as 11063180690496 + 4250821309504 = 3326136^2 + 2061752^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 241968360 + ... + 242031640.

Almost surely, 2^{15314002000000} is an apocalyptic number.

15314002000000 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 15314002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958804282465).

15314002000000 is an abundant number, since it is smaller than the sum of its proper divisors (26603606564930).

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

15314002000000 is an frugal number, since it uses more digits than its factorization.

15314002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63347 (or 63299 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 15314002000000 its reverse (20041351), we get a palindrome (15314022041351).

The spelling of 15314002000000 in words is "fifteen trillion, three hundred fourteen billion, two million", and thus it is an aban number.