2114055151264 has 96 divisors (see below), whose sum is σ = 4835527756416. Its totient is φ = 891000069120.

The previous prime is 2114055151259. The next prime is 2114055151301. The reversal of 2114055151264 is 4621515504112.

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, 92398194 + ... + 92421070.

It is an arithmetic number, because the mean of its divisors is an integer number (50370080796).

Almost surely, 2^{2114055151264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114055151264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417763878208).

2114055151264 is an abundant number, since it is smaller than the sum of its proper divisors (2721472605152).

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

2114055151264 is a wasteful number, since it uses less digits than its factorization.

2114055151264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29718 (or 29710 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 2114055151264 in words is "two trillion, one hundred fourteen billion, fifty-five million, one hundred fifty-one thousand, two hundred sixty-four".