13896334498680 has 192 divisors, whose sum is σ = 45364322764800. Its totient is φ = 3689198472960.

The previous prime is 13896334498637. The next prime is 13896334498687. The reversal of 13896334498680 is 8689443369831.

13896334498680 is a `hidden beast` number, since 1 + 3 + 8 + 96 + 33 + 449 + 8 + 68 + 0 = 666.

It is a super-2 number, since 2×13896334498680² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13896334498599 and 13896334498608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13896334498687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129408451 + ... + 129515789.

It is an arithmetic number, because the mean of its divisors is an integer number (236272514400).

Almost surely, 2^{13896334498680} is an apocalyptic number.

13896334498680 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 13896334498680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22682161382400).

13896334498680 is an abundant number, since it is smaller than the sum of its proper divisors (31467988266120).

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

13896334498680 is a wasteful number, since it uses less digits than its factorization.

13896334498680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108954 (or 108947 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 13896334498680 in words is "thirteen trillion, eight hundred ninety-six billion, three hundred thirty-four million, four hundred ninety-eight thousand, six hundred eighty".