725134743313344 has 1344 divisors, whose sum is σ = 2731399353446400. Its totient is φ = 178581717909504.

The previous prime is 725134743313247. The next prime is 725134743313361. The reversal of 725134743313344 is 443313347431527.

725134743313344 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 3 + 474 + 33 + 133 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×725134743313344³ (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189676886217 + ... + 189676890039.

It is an arithmetic number, because the mean of its divisors is an integer number (2032291185600).

Almost surely, 2^{725134743313344} 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 725134743313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365699676723200).

725134743313344 is an abundant number, since it is smaller than the sum of its proper divisors (2006264610133056).

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

725134743313344 is a wasteful number, since it uses less digits than its factorization.

725134743313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6549 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 54.

The spelling of 725134743313344 in words is "seven hundred twenty-five trillion, one hundred thirty-four billion, seven hundred forty-three million, three hundred thirteen thousand, three hundred forty-four".