744245575601 has 48 divisors (see below), whose sum is σ = 873469094400. Its totient is φ = 632267011200.

The previous prime is 744245575571. The next prime is 744245575607. The reversal of 744245575601 is 106575542447.

It is a happy number.

It is not a de Polignac number, because 744245575601 - 2²² = 744241381297 is a prime.

It is a super-2 number, since 2×744245575601² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 744245575601.

It is not an unprimeable number, because it can be changed into a prime (744245575607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25279976 + ... + 25309398.

It is an arithmetic number, because the mean of its divisors is an integer number (18197272800).

Almost surely, 2^744245575601 is an apocalyptic number.

It is an amenable number.

744245575601 is a deficient number, since it is larger than the sum of its proper divisors (129223518799).

744245575601 is a wasteful number, since it uses less digits than its factorization.

744245575601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29678 (or 29667 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 50.

The spelling of 744245575601 in words is "seven hundred forty-four billion, two hundred forty-five million, five hundred seventy-five thousand, six hundred one".