744612919056 has 120 divisors (see below), whose sum is σ = 2159839699160. Its totient is φ = 239280334848.

The previous prime is 744612919003. The next prime is 744612919081. The reversal of 744612919056 is 650919216447.

744612919056 is a `hidden beast` number, since 7 + 4 + 4 + 612 + 9 + 19 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585555526656 + 159057392400 = 765216^2 + 398820^2 .

It is a super-2 number, since 2×744612919056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 744612918993 and 744612919011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60325 + ... + 1221828.

Almost surely, 2^744612919056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744612919056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079919849580).

744612919056 is an abundant number, since it is smaller than the sum of its proper divisors (1415226780104).

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

744612919056 is a wasteful number, since it uses less digits than its factorization.

744612919056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282313 (or 1282304 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 744612919056 in words is "seven hundred forty-four billion, six hundred twelve million, nine hundred nineteen thousand, fifty-six".