11445576256 has 63 divisors (see below), whose sum is σ = 23327800563. Its totient is φ = 5571726720.

The previous prime is 11445576239. The next prime is 11445576271. The reversal of 11445576256 is 65267554411.

The square root of 11445576256 is 106984.

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

It is a super-5 number, since 5×11445576256⁵ (a number of 51 digits) contains 55555 as substring.

It is a Duffinian number.

Its product of digits (1008000) is a multiple of the sum of its prime factors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36802341 + ... + 36802651.

Almost surely, 2^11445576256 is an apocalyptic number.

11445576256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11445576256 is the 106984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11445576256

11445576256 is an abundant number, since it is smaller than the sum of its proper divisors (11882224307).

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

11445576256 is an frugal number, since it uses more digits than its factorization.

11445576256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 356 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 46.

The spelling of 11445576256 in words is "eleven billion, four hundred forty-five million, five hundred seventy-six thousand, two hundred fifty-six".