2214125656792 has 128 divisors (see below), whose sum is σ = 5130112204800. Its totient is φ = 875321935488.

The previous prime is 2214125656763. The next prime is 2214125656829. The reversal of 2214125656792 is 2976565214122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4122313 + ... + 4628359.

It is an arithmetic number, because the mean of its divisors is an integer number (40079001600).

Almost surely, 2^{2214125656792} 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 2214125656792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565056102400).

2214125656792 is an abundant number, since it is smaller than the sum of its proper divisors (2915986548008).

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

2214125656792 is a wasteful number, since it uses less digits than its factorization.

2214125656792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506205 (or 506201 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The spelling of 2214125656792 in words is "two trillion, two hundred fourteen billion, one hundred twenty-five million, six hundred fifty-six thousand, seven hundred ninety-two".