13968245698560 has 2080 divisors, whose sum is σ = 56517113664000. Its totient is φ = 3279327068160.

The previous prime is 13968245698559. The next prime is 13968245698567. The reversal of 13968245698560 is 6589654286931.

It is a happy number.

13968245698560 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 8 + 2 + 4 + 56 + 9 + 8 + 560 = 666.

It is a super-2 number, since 2×13968245698560² (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 not an unprimeable number, because it can be changed into a prime (13968245698567) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70192189341 + ... + 70192189539.

Almost surely, 2^{13968245698560} is an apocalyptic number.

13968245698560 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 13968245698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28258556832000).

13968245698560 is an abundant number, since it is smaller than the sum of its proper divisors (42548867965440).

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

13968245698560 is a wasteful number, since it uses less digits than its factorization.

13968245698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 13968245698560 in words is "thirteen trillion, nine hundred sixty-eight billion, two hundred forty-five million, six hundred ninety-eight thousand, five hundred sixty".