13768928325936 has 450 divisors, whose sum is σ = 47901461392620. Its totient is φ = 3807060082560.

The previous prime is 13768928325907. The next prime is 13768928325947. The reversal of 13768928325936 is 63952382986731.

13768928325936 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 8 + 9 + 28 + 3 + 2 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 60914535 + ... + 61140153.

Almost surely, 2^{13768928325936} is an apocalyptic number.

13768928325936 is a gapful number since it is divisible by the number (16) 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 13768928325936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950730696310).

13768928325936 is an abundant number, since it is smaller than the sum of its proper divisors (34132533066684).

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

13768928325936 is a wasteful number, since it uses less digits than its factorization.

13768928325936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225715 (or 225662 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 13768928325936 in words is "thirteen trillion, seven hundred sixty-eight billion, nine hundred twenty-eight million, three hundred twenty-five thousand, nine hundred thirty-six".