2113416564624 has 120 divisors (see below), whose sum is σ = 5979229780992. Its totient is φ = 696811610880.

The previous prime is 2113416564617. The next prime is 2113416564631. The reversal of 2113416564624 is 4264656143112.

2113416564624 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 4 + 16 + 5 + 6 + 4 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (2113416564617) and next prime (2113416564631).

It is a super-2 number, since 2×2113416564624² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2113416564624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5878762 + ... + 6227894.

Almost surely, 2^{2113416564624} is an apocalyptic number.

2113416564624 is a gapful number since it is divisible by the number (24) 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 2113416564624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989614890496).

2113416564624 is an abundant number, since it is smaller than the sum of its proper divisors (3865813216368).

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

2113416564624 is a wasteful number, since it uses less digits than its factorization.

2113416564624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349605 (or 349596 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 2113416564624 in words is "two trillion, one hundred thirteen billion, four hundred sixteen million, five hundred sixty-four thousand, six hundred twenty-four".