10944507456 has 105 divisors (see below), whose sum is σ = 32465292321. Its totient is φ = 3645658368.

The previous prime is 10944507449. The next prime is 10944507479. The reversal of 10944507456 is 65470544901.

The square root of 10944507456 is 104616.

It is a perfect power (a square), and thus also a powerful number.

10944507456 is a `hidden beast` number, since 1 + 0 + 94 + 4 + 507 + 4 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10675022400 + 269485056 = 103320^2 + 16416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7531626 + ... + 7533078.

Almost surely, 2^10944507456 is an apocalyptic number.

10944507456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10944507456 is the 104616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10944507456

10944507456 is an abundant number, since it is smaller than the sum of its proper divisors (21520784865).

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

10944507456 is an frugal number, since it uses more digits than its factorization.

10944507456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 10944 and 507456, that added together give a square (518400 = 720²).

The spelling of 10944507456 in words is "ten billion, nine hundred forty-four million, five hundred seven thousand, four hundred fifty-six".