744267318561921 has 64 divisors (see below), whose sum is σ = 1291082456272896. Its totient is φ = 369803211571200.

The previous prime is 744267318561919. The next prime is 744267318561929. The reversal of 744267318561921 is 129165813762447.

It is a happy number.

It is not a de Polignac number, because 744267318561921 - 2¹ = 744267318561919 is a prime.

It is a super-2 number, since 2×744267318561921² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (744267318561929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99775201 + ... + 106974881.

It is an arithmetic number, because the mean of its divisors is an integer number (20173163379264).

Almost surely, 2^{744267318561921} is an apocalyptic number.

It is an amenable number.

744267318561921 is a deficient number, since it is larger than the sum of its proper divisors (546815137710975).

744267318561921 is a wasteful number, since it uses less digits than its factorization.

744267318561921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7219182.

The product of its digits is 121927680, while the sum is 66.

The spelling of 744267318561921 in words is "seven hundred forty-four trillion, two hundred sixty-seven billion, three hundred eighteen million, five hundred sixty-one thousand, nine hundred twenty-one".