11331100226772 has 72 divisors (see below), whose sum is σ = 28706090134176. Its totient is φ = 3768649619904.

The previous prime is 11331100226741. The next prime is 11331100226801. The reversal of 11331100226772 is 27762200113311.

11331100226772 is a `hidden beast` number, since 1 + 13 + 311 + 0 + 0 + 2 + 267 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358869978 + ... + 358901550.

It is an arithmetic number, because the mean of its divisors is an integer number (398695696308).

Almost surely, 2^{11331100226772} is an apocalyptic number.

11331100226772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331100226772 is an abundant number, since it is smaller than the sum of its proper divisors (17374989907404).

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

11331100226772 is a wasteful number, since it uses less digits than its factorization.

11331100226772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53397 (or 53392 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11331100226772 in words is "eleven trillion, three hundred thirty-one billion, one hundred million, two hundred twenty-six thousand, seven hundred seventy-two".