125905406346 has 128 divisors (see below), whose sum is σ = 308308377600. Its totient is φ = 37908699840.

The previous prime is 125905406321. The next prime is 125905406399. The reversal of 125905406346 is 643604509521.

125905406346 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 0 + 5 + 4 + 0 + 634 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7472151 + ... + 7488981.

It is an arithmetic number, because the mean of its divisors is an integer number (2408659200).

Almost surely, 2^125905406346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125905406346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154154188800).

125905406346 is an abundant number, since it is smaller than the sum of its proper divisors (182402971254).

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

125905406346 is a wasteful number, since it uses less digits than its factorization.

125905406346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17201 (or 17195 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 125905406346 in words is "one hundred twenty-five billion, nine hundred five million, four hundred six thousand, three hundred forty-six".