11006575923456 has 135 divisors (see below), whose sum is σ = 32821042445191. Its totient is φ = 3668699395584.

The previous prime is 11006575923439. The next prime is 11006575923517. The reversal of 11006575923456 is 65432957560011.

The square root of 11006575923456 is 3317616.

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

11006575923456 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 5 + 7 + 592 + 3 + 45 + 6 = 666.

It is a super-2 number, since 2×11006575923456² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 477725185 + ... + 477748223.

Almost surely, 2^{11006575923456} is an apocalyptic number.

11006575923456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11006575923456 is the 3317616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006575923456

11006575923456 is an abundant number, since it is smaller than the sum of its proper divisors (21814466521735).

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

11006575923456 is an frugal number, since it uses more digits than its factorization.

11006575923456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46106 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 11006575923456 in words is "eleven trillion, six billion, five hundred seventy-five million, nine hundred twenty-three thousand, four hundred fifty-six".