13715912250000 has 525 divisors, whose sum is σ = 49682018417493. Its totient is φ = 3653132400000.

The previous prime is 13715912249969. The next prime is 13715912250013. The reversal of 13715912250000 is 5221951731.

The square root of 13715912250000 is 3703500.

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

13715912250000 is a `hidden beast` number, since 1 + 37 + 15 + 91 + 22 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12016455858576 + 1699456391424 = 3466476^2 + 1303632^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 16665749589 + ... + 16665750411.

Almost surely, 2^{13715912250000} is an apocalyptic number.

13715912250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13715912250000 is the 3703500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13715912250000

13715912250000 is an abundant number, since it is smaller than the sum of its proper divisors (35966106167493).

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

13715912250000 is an frugal number, since it uses more digits than its factorization.

13715912250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

Multiplying 13715912250000 by its sum of digits (36), we get a square (493772841000000 = 22221000²).

13715912250000 divided by its sum of digits (36) gives a square (380997562500 = 617250²).

The spelling of 13715912250000 in words is "thirteen trillion, seven hundred fifteen billion, nine hundred twelve million, two hundred fifty thousand".