125314579404 has 144 divisors (see below), whose sum is σ = 370196736000. Its totient is φ = 35727731424.

The previous prime is 125314579381. The next prime is 125314579417. The reversal of 125314579404 is 404975413521.

125314579404 is a `hidden beast` number, since 1 + 2 + 5 + 31 + 4 + 579 + 40 + 4 = 666.

It is a super-2 number, since 2×125314579404² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125314579404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5904099 + ... + 5925285.

Almost surely, 2^125314579404 is an apocalyptic number.

125314579404 is a gapful number since it is divisible by the number (14) 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 125314579404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185098368000).

125314579404 is an abundant number, since it is smaller than the sum of its proper divisors (244882156596).

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

125314579404 is a wasteful number, since it uses less digits than its factorization.

125314579404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21697 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 125314579404 in words is "one hundred twenty-five billion, three hundred fourteen million, five hundred seventy-nine thousand, four hundred four".