13997644560 has 320 divisors, whose sum is σ = 49196851200. Its totient is φ = 3657457152.

The previous prime is 13997644537. The next prime is 13997644561. The reversal of 13997644560 is 6544679931.

13997644560 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 76 + 4 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13997644497 and 13997644506.

It is not an unprimeable number, because it can be changed into a prime (13997644561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29222401 + ... + 29222879.

It is an arithmetic number, because the mean of its divisors is an integer number (153740160).

Almost surely, 2^13997644560 is an apocalyptic number.

13997644560 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 13997644560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24598425600).

13997644560 is an abundant number, since it is smaller than the sum of its proper divisors (35199206640).

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

13997644560 is a wasteful number, since it uses less digits than its factorization.

13997644560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13997644560 in words is "thirteen billion, nine hundred ninety-seven million, six hundred forty-four thousand, five hundred sixty".