125349938233344 has 2304 divisors, whose sum is σ = 457984835942400. Its totient is φ = 32631894835200.

The previous prime is 125349938233321. The next prime is 125349938233379. The reversal of 125349938233344 is 443332839943521.

125349938233344 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 499 + 3 + 82 + 33 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 552202370959 + ... + 552202371185.

It is an arithmetic number, because the mean of its divisors is an integer number (198778140600).

Almost surely, 2^{125349938233344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125349938233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228992417971200).

125349938233344 is an abundant number, since it is smaller than the sum of its proper divisors (332634897709056).

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

125349938233344 is a wasteful number, since it uses less digits than its factorization.

125349938233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 310 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 63.

The spelling of 125349938233344 in words is "one hundred twenty-five trillion, three hundred forty-nine billion, nine hundred thirty-eight million, two hundred thirty-three thousand, three hundred forty-four".