13398735581937 has 24 divisors (see below), whose sum is σ = 19884688672680. Its totient is φ = 8687623714560.

The previous prime is 13398735581929. The next prime is 13398735581941. The reversal of 13398735581937 is 73918553789331.

13398735581937 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 8 + 7 + 3 + 5 + 581 + 9 + 37 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4635619996401 + 8763115585536 = 2153049^2 + 2960256^2 .

It is not a de Polignac number, because 13398735581937 - 2³ = 13398735581929 is a prime.

It is a super-2 number, since 2×13398735581937² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13398735511937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7140762 + ... + 8819747.

It is an arithmetic number, because the mean of its divisors is an integer number (828528694695).

Almost surely, 2^{13398735581937} is an apocalyptic number.

It is an amenable number.

13398735581937 is a deficient number, since it is larger than the sum of its proper divisors (6485953090743).

13398735581937 is a wasteful number, since it uses less digits than its factorization.

13398735581937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15963073 (or 15963070 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 13398735581937 in words is "thirteen trillion, three hundred ninety-eight billion, seven hundred thirty-five million, five hundred eighty-one thousand, nine hundred thirty-seven".