13361614407360 has 672 divisors, whose sum is σ = 50514870369600. Its totient is φ = 3350130720768.

The previous prime is 13361614407347. The next prime is 13361614407413. The reversal of 13361614407360 is 6370441616331.

It is a happy number.

13361614407360 is a `hidden beast` number, since 1 + 33 + 61 + 61 + 440 + 7 + 3 + 60 = 666.

13361614407360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1476580116 + ... + 1476589164.

It is an arithmetic number, because the mean of its divisors is an integer number (75170938050).

Almost surely, 2^{13361614407360} is an apocalyptic number.

13361614407360 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 13361614407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257435184800).

13361614407360 is an abundant number, since it is smaller than the sum of its proper divisors (37153255962240).

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

13361614407360 is a wasteful number, since it uses less digits than its factorization.

13361614407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10215 (or 10193 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 13361614407360 in words is "thirteen trillion, three hundred sixty-one billion, six hundred fourteen million, four hundred seven thousand, three hundred sixty".