2114679874944 has 512 divisors, whose sum is σ = 6967771776000. Its totient is φ = 553351938048.

The previous prime is 2114679874939. The next prime is 2114679874987. The reversal of 2114679874944 is 4494789764112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3865959279 + ... + 3865959825.

It is an arithmetic number, because the mean of its divisors is an integer number (13608929250).

Almost surely, 2^{2114679874944} is an apocalyptic number.

2114679874944 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 2114679874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483885888000).

2114679874944 is an abundant number, since it is smaller than the sum of its proper divisors (4853091901056).

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

2114679874944 is a wasteful number, since it uses less digits than its factorization.

2114679874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1238 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 66.

The spelling of 2114679874944 in words is "two trillion, one hundred fourteen billion, six hundred seventy-nine million, eight hundred seventy-four thousand, nine hundred forty-four".