2214705117125 has 16 divisors (see below), whose sum is σ = 2764009790256. Its totient is φ = 1771727040000.

The previous prime is 2214705117089. The next prime is 2214705117127. The reversal of 2214705117125 is 5217115074122.

2214705117125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 769309672609 + 1445395444516 = 877103^2 + 1202246^2 .

It is not a de Polignac number, because 2214705117125 - 2⁶ = 2214705117061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214705117127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6893057 + ... + 7207193.

It is an arithmetic number, because the mean of its divisors is an integer number (172750611891).

Almost surely, 2^{2214705117125} is an apocalyptic number.

2214705117125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2214705117125 is a deficient number, since it is larger than the sum of its proper divisors (549304673131).

2214705117125 is an equidigital number, since it uses as much as digits as its factorization.

2214705117125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370553 (or 370543 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 38.

The spelling of 2214705117125 in words is "two trillion, two hundred fourteen billion, seven hundred five million, one hundred seventeen thousand, one hundred twenty-five".