11147845644 has 288 divisors, whose sum is σ = 32875315200. Its totient is φ = 3279916800.

The previous prime is 11147845627. The next prime is 11147845651. The reversal of 11147845644 is 44654874111.

11147845644 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 7 + 84 + 564 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11147845644.

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 95 ways as a sum of consecutive naturals, for example, 58365589 + ... + 58365779.

It is an arithmetic number, because the mean of its divisors is an integer number (114150400).

Almost surely, 2^11147845644 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 11147845644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437657600).

11147845644 is an abundant number, since it is smaller than the sum of its proper divisors (21727469556).

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

11147845644 is a wasteful number, since it uses less digits than its factorization.

11147845644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 11147845644 in words is "eleven billion, one hundred forty-seven million, eight hundred forty-five thousand, six hundred forty-four".