13685374355904 has 168 divisors, whose sum is σ = 40292401406400. Its totient is φ = 4437886482432.

The previous prime is 13685374355819. The next prime is 13685374355953. The reversal of 13685374355904 is 40955347358631.

It is a happy number.

13685374355904 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 5 + 3 + 7 + 4 + 35 + 590 + 4 = 666.

It is a super-2 number, since 2×13685374355904² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169368697 + ... + 169449479.

Almost surely, 2^{13685374355904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13685374355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146200703200).

13685374355904 is an abundant number, since it is smaller than the sum of its proper divisors (26607027050496).

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

13685374355904 is a wasteful number, since it uses less digits than its factorization.

13685374355904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88787 (or 88774 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 13685374355904 in words is "thirteen trillion, six hundred eighty-five billion, three hundred seventy-four million, three hundred fifty-five thousand, nine hundred four".