6914138775625 has 135 divisors (see below), whose sum is σ = 9630227888281. Its totient is φ = 4961083072000.

The previous prime is 6914138775571. The next prime is 6914138775647. The reversal of 6914138775625 is 5265778314196.

The square root of 6914138775625 is 2629475.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 5240706769081 + 1673432006544 = 2289259^2 + 1293612^2 .

It is not a de Polignac number, because 6914138775625 - 2⁷ = 6914138775497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25703117991 + ... + 25703118259.

Almost surely, 2^{6914138775625} is an apocalyptic number.

6914138775625 is the 2629475-th square number.

6914138775625 is the 1314738-th centered octagonal number.

It is an amenable number.

6914138775625 is a deficient number, since it is larger than the sum of its proper divisors (2716089112656).

6914138775625 is an frugal number, since it uses more digits than its factorization.

6914138775625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 314 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 64.

Multiplying 6914138775625 by its sum of digits (64), we get a square (442504881640000 = 21035800²).

The spelling of 6914138775625 in words is "six trillion, nine hundred fourteen billion, one hundred thirty-eight million, seven hundred seventy-five thousand, six hundred twenty-five".