15814938240000 has 495 divisors, whose sum is σ = 57097806116637. Its totient is φ = 4214771712000.

The previous prime is 15814938239993. The next prime is 15814938240001. The reversal of 15814938240000 is 4283941851.

The square root of 15814938240000 is 3976800.

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

15814938240000 is a `hidden beast` number, since 1 + 5 + 81 + 4 + 93 + 82 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 14289851556864 + 1525086683136 = 3780192^2 + 1234944^2 .

It is a super-2 number, since 2×15814938240000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (15814938240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9544319172 + ... + 9544320828.

Almost surely, 2^{15814938240000} is an apocalyptic number.

15814938240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15814938240000 is the 3976800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15814938240000

15814938240000 is an abundant number, since it is smaller than the sum of its proper divisors (41282867876637).

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

15814938240000 is an frugal number, since it uses more digits than its factorization.

15814938240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 15814938240000 in words is "fifteen trillion, eight hundred fourteen billion, nine hundred thirty-eight million, two hundred forty thousand".