744116676825 has 48 divisors (see below), whose sum is σ = 1320989129856. Its totient is φ = 368256537600.

The previous prime is 744116676781. The next prime is 744116676829. The reversal of 744116676825 is 528676611447.

744116676825 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 744116676825 - 2⁷ = 744116676697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (744116676829) 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, 4019482 + ... + 4200531.

It is an arithmetic number, because the mean of its divisors is an integer number (27520606872).

Almost surely, 2^744116676825 is an apocalyptic number.

744116676825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

744116676825 is a deficient number, since it is larger than the sum of its proper divisors (576872453031).

744116676825 is a wasteful number, since it uses less digits than its factorization.

744116676825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220114 (or 8220109 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 744116676825 in words is "seven hundred forty-four billion, one hundred sixteen million, six hundred seventy-six thousand, eight hundred twenty-five".