2113667368848 has 1280 divisors, whose sum is σ = 7762360320000. Its totient is φ = 548455090176.

The previous prime is 2113667368843. The next prime is 2113667368849. The reversal of 2113667368848 is 8488637663112.

2113667368848 is a `hidden beast` number, since 2 + 1 + 136 + 67 + 368 + 84 + 8 = 666.

It is a super-2 number, since 2×2113667368848² (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2113667368843) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10729275886 + ... + 10729276082.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344000).

Almost surely, 2^{2113667368848} is an apocalyptic number.

2113667368848 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 2113667368848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881180160000).

2113667368848 is an abundant number, since it is smaller than the sum of its proper divisors (5648692951152).

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

2113667368848 is a wasteful number, since it uses less digits than its factorization.

2113667368848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 368 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 2113667368848 in words is "two trillion, one hundred thirteen billion, six hundred sixty-seven million, three hundred sixty-eight thousand, eight hundred forty-eight".