13114808185680 has 450 divisors, whose sum is σ = 46897029570066. Its totient is φ = 3284511393792.

The previous prime is 13114808185649. The next prime is 13114808185751. The reversal of 13114808185680 is 8658180841131.

13114808185680 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 480 + 8 + 1 + 85 + 6 + 80 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 211165982784 + 12903642202896 = 459528^2 + 3592164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 28083100807 + ... + 28083101273.

Almost surely, 2^{13114808185680} is an apocalyptic number.

13114808185680 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 13114808185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23448514785033).

13114808185680 is an abundant number, since it is smaller than the sum of its proper divisors (33782221384386).

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

13114808185680 is an frugal number, since it uses more digits than its factorization.

13114808185680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 13114808185680 in words is "thirteen trillion, one hundred fourteen billion, eight hundred eight million, one hundred eighty-five thousand, six hundred eighty".