744740423164125 has 48 divisors (see below), whose sum is σ = 1421490426555888. Its totient is φ = 373830486912000.

The previous prime is 744740423164123. The next prime is 744740423164147. The reversal of 744740423164125 is 521461324047447.

744740423164125 is a `hidden beast` number, since 7 + 4 + 4 + 7 + 40 + 423 + 164 + 12 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 309822870389796 + 434917552774329 = 17601786^2 + 20854677^2 .

It is not a de Polignac number, because 744740423164125 - 2¹ = 744740423164123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744740423164123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19470318736 + ... + 19470356985.

It is an arithmetic number, because the mean of its divisors is an integer number (29614383886581).

Almost surely, 2^{744740423164125} is an apocalyptic number.

744740423164125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

744740423164125 is a deficient number, since it is larger than the sum of its proper divisors (676750003391763).

744740423164125 is a wasteful number, since it uses less digits than its factorization.

744740423164125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38940675759 (or 38940675746 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 744740423164125 in words is "seven hundred forty-four trillion, seven hundred forty billion, four hundred twenty-three million, one hundred sixty-four thousand, one hundred twenty-five".