2115373385664 has 448 divisors, whose sum is σ = 7880450380800. Its totient is φ = 540438220800.

The previous prime is 2115373385659. The next prime is 2115373385687. The reversal of 2115373385664 is 4665833735112.

2115373385664 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 3 + 73 + 3 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2115373385664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7986102 + ... + 8246730.

Almost surely, 2^{2115373385664} is an apocalyptic number.

2115373385664 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 2115373385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940225190400).

2115373385664 is an abundant number, since it is smaller than the sum of its proper divisors (5765076995136).

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

2115373385664 is a wasteful number, since it uses less digits than its factorization.

2115373385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260729 (or 260713 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 2115373385664 in words is "two trillion, one hundred fifteen billion, three hundred seventy-three million, three hundred eighty-five thousand, six hundred sixty-four".