11172918045744 has 960 divisors, whose sum is σ = 41274412268544. Its totient is φ = 2847634403328.

The previous prime is 11172918045721. The next prime is 11172918045767. The reversal of 11172918045744 is 44754081927111.

11172918045744 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 2 + 9 + 180 + 457 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11172918045721) and next prime (11172918045767).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1256367762 + ... + 1256376654.

Almost surely, 2^{11172918045744} is an apocalyptic number.

11172918045744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11172918045744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637206134272).

11172918045744 is an abundant number, since it is smaller than the sum of its proper divisors (30101494222800).

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

11172918045744 is a wasteful number, since it uses less digits than its factorization.

11172918045744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 11172918045744 in words is "eleven trillion, one hundred seventy-two billion, nine hundred eighteen million, forty-five thousand, seven hundred forty-four".