13670280104688 has 640 divisors, whose sum is σ = 42340850012160. Its totient is φ = 4216374190080.

The previous prime is 13670280104653. The next prime is 13670280104707. The reversal of 13670280104688 is 88640108207631.

13670280104688 is a `hidden beast` number, since 1 + 36 + 70 + 2 + 80 + 1 + 0 + 468 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3662007270 + ... + 3662011002.

It is an arithmetic number, because the mean of its divisors is an integer number (66157578144).

Almost surely, 2^{13670280104688} is an apocalyptic number.

13670280104688 is a gapful number since it is divisible by the number (18) 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 13670280104688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170425006080).

13670280104688 is an abundant number, since it is smaller than the sum of its proper divisors (28670569907472).

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

13670280104688 is a wasteful number, since it uses less digits than its factorization.

13670280104688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13670280104688 in words is "thirteen trillion, six hundred seventy billion, two hundred eighty million, one hundred four thousand, six hundred eighty-eight".