2113579352064 has 256 divisors, whose sum is σ = 5930053486560. Its totient is φ = 668718858240.

The previous prime is 2113579352021. The next prime is 2113579352083. The reversal of 2113579352064 is 4602539753112.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×2113579352064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149120082 + ... + 149134254.

Almost surely, 2^{2113579352064} is an apocalyptic number.

2113579352064 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 2113579352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965026743280).

2113579352064 is an abundant number, since it is smaller than the sum of its proper divisors (3816474134496).

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

2113579352064 is an equidigital number, since it uses as much as digits as its factorization.

2113579352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14284 (or 14256 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 2113579352064 in words is "two trillion, one hundred thirteen billion, five hundred seventy-nine million, three hundred fifty-two thousand, sixty-four".