744956044416 has 256 divisors, whose sum is σ = 2321879040000. Its totient is φ = 234486420480.

The previous prime is 744956044387. The next prime is 744956044493. The reversal of 744956044416 is 614440659447.

744956044416 is a `hidden beast` number, since 7 + 44 + 95 + 60 + 44 + 416 = 666.

It is a super-2 number, since 2×744956044416² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20403265 + ... + 20439743.

It is an arithmetic number, because the mean of its divisors is an integer number (9069840000).

Almost surely, 2^744956044416 is an apocalyptic number.

744956044416 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744956044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160939520000).

744956044416 is an abundant number, since it is smaller than the sum of its proper divisors (1576922995584).

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

744956044416 is a wasteful number, since it uses less digits than its factorization.

744956044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36832 (or 36814 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 744956044416 in words is "seven hundred forty-four billion, nine hundred fifty-six million, forty-four thousand, four hundred sixteen".