13600894353408 has 576 divisors, whose sum is σ = 43211568234240. Its totient is φ = 4265418424320.

The previous prime is 13600894353349. The next prime is 13600894353413. The reversal of 13600894353408 is 80435349800631.

13600894353408 is a `hidden beast` number, since 1 + 3 + 60 + 0 + 8 + 9 + 43 + 534 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4873124493 + ... + 4873127283.

It is an arithmetic number, because the mean of its divisors is an integer number (75020083740).

Almost surely, 2^{13600894353408} is an apocalyptic number.

13600894353408 is a gapful number since it is divisible by the number (18) 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 13600894353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605784117120).

13600894353408 is an abundant number, since it is smaller than the sum of its proper divisors (29610673880832).

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

13600894353408 is an frugal number, since it uses more digits than its factorization.

13600894353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 13600894353408 in words is "thirteen trillion, six hundred billion, eight hundred ninety-four million, three hundred fifty-three thousand, four hundred eight".