13612714536960 has 4160 divisors, whose sum is σ = 65765368627200. Its totient is φ = 2608555622400.

The previous prime is 13612714536943. The next prime is 13612714536961. The reversal of 13612714536960 is 6963541721631.

13612714536960 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 2 + 7 + 14 + 536 + 96 + 0 = 666.

It is a super-3 number, since 3×13612714536960³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13612714536897 and 13612714536906.

It is not an unprimeable number, because it can be changed into a prime (13612714536961) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 172312842201 + ... + 172312842279.

Almost surely, 2^{13612714536960} is an apocalyptic number.

13612714536960 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 13612714536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32882684313600).

13612714536960 is an abundant number, since it is smaller than the sum of its proper divisors (52152654090240).

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

13612714536960 is a wasteful number, since it uses less digits than its factorization.

13612714536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13612714536960 in words is "thirteen trillion, six hundred twelve billion, seven hundred fourteen million, five hundred thirty-six thousand, nine hundred sixty".