2125314195264 has 672 divisors, whose sum is σ = 7129467072000. Its totient is φ = 599775694848.

The previous prime is 2125314195259. The next prime is 2125314195311. The reversal of 2125314195264 is 4625914135212.

2125314195264 is a `hidden beast` number, since 2 + 1 + 2 + 531 + 4 + 1 + 9 + 52 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562399327 + ... + 562403105.

It is an arithmetic number, because the mean of its divisors is an integer number (10609326000).

Almost surely, 2^{2125314195264} is an apocalyptic number.

2125314195264 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 2125314195264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564733536000).

2125314195264 is an abundant number, since it is smaller than the sum of its proper divisors (5004152876736).

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

2125314195264 is a wasteful number, since it uses less digits than its factorization.

2125314195264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955 (or 3942 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 2125314195264 in words is "two trillion, one hundred twenty-five billion, three hundred fourteen million, one hundred ninety-five thousand, two hundred sixty-four".