11611072944 has 120 divisors (see below), whose sum is σ = 33162676560. Its totient is φ = 3791064576.

The previous prime is 11611072943. The next prime is 11611073011. The reversal of 11611072944 is 44927011611.

11611072944 is a `hidden beast` number, since 11 + 611 + 0 + 7 + 29 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11611072899 and 11611072908.

It is not an unprimeable number, because it can be changed into a prime (11611072943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7776262 + ... + 7777754.

It is an arithmetic number, because the mean of its divisors is an integer number (276355638).

Almost surely, 2^11611072944 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 11611072944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581338280).

11611072944 is an abundant number, since it is smaller than the sum of its proper divisors (21551603616).

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

11611072944 is a wasteful number, since it uses less digits than its factorization.

11611072944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11611072944 in words is "eleven billion, six hundred eleven million, seventy-two thousand, nine hundred forty-four".