7814638125 has 120 divisors (see below), whose sum is σ = 16823114880. Its totient is φ = 3416688000.

The previous prime is 7814638121. The next prime is 7814638133. The reversal of 7814638125 is 5218364187.

7814638125 is a `hidden beast` number, since 7 + 8 + 1 + 4 + 638 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 7814638125 - 2² = 7814638121 is a prime.

It is a super-2 number, since 2×7814638125² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7814638121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 901311 + ... + 909939.

It is an arithmetic number, because the mean of its divisors is an integer number (140192624).

Almost surely, 2^7814638125 is an apocalyptic number.

7814638125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7814638125 is an abundant number, since it is smaller than the sum of its proper divisors (9008476755).

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

7814638125 is a wasteful number, since it uses less digits than its factorization.

7814638125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8685 (or 8667 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 7814638125 is about 88400.4418823798. The cubic root of 7814638125 is about 1984.4323150825.

The spelling of 7814638125 in words is "seven billion, eight hundred fourteen million, six hundred thirty-eight thousand, one hundred twenty-five".