2113725686688 has 1944 divisors, whose sum is σ = 8478194489856. Its totient is φ = 516028423680.

The previous prime is 2113725686623. The next prime is 2113725686711. The reversal of 2113725686688 is 8866865273112.

2113725686688 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 7 + 2 + 568 + 6 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 16643509281 + ... + 16643509407.

Almost surely, 2^{2113725686688} is an apocalyptic number.

2113725686688 is a gapful number since it is divisible by the number (28) 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 2113725686688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239097244928).

2113725686688 is an abundant number, since it is smaller than the sum of its proper divisors (6364468803168).

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

2113725686688 is a wasteful number, since it uses less digits than its factorization.

2113725686688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 169 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 2113725686688 in words is "two trillion, one hundred thirteen billion, seven hundred twenty-five million, six hundred eighty-six thousand, six hundred eighty-eight".