11188873846872 has 192 divisors, whose sum is σ = 32650564752000. Its totient is φ = 3448518884352.

The previous prime is 11188873846859. The next prime is 11188873846883. The reversal of 11188873846872 is 27864837888111.

11188873846872 is a `hidden beast` number, since 1 + 1 + 1 + 88 + 87 + 3 + 8 + 468 + 7 + 2 = 666.

It is a super-2 number, since 2×11188873846872² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11188873846872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113980003 + ... + 114078125.

It is an arithmetic number, because the mean of its divisors is an integer number (170055024750).

Almost surely, 2^{11188873846872} is an apocalyptic number.

11188873846872 is a gapful number since it is divisible by the number (12) 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 11188873846872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325282376000).

11188873846872 is an abundant number, since it is smaller than the sum of its proper divisors (21461690905128).

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

11188873846872 is a wasteful number, since it uses less digits than its factorization.

11188873846872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99790 (or 99783 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 72.

The spelling of 11188873846872 in words is "eleven trillion, one hundred eighty-eight billion, eight hundred seventy-three million, eight hundred forty-six thousand, eight hundred seventy-two".