11114191872 has 176 divisors, whose sum is σ = 37617637120. Its totient is φ = 3175428096.

The previous prime is 11114191807. The next prime is 11114191937. The reversal of 11114191872 is 27819141111.

It is an interprime number because it is at equal distance from previous prime (11114191807) and next prime (11114191937).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 164823 + ... + 222249.

Almost surely, 2^11114191872 is an apocalyptic number.

11114191872 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 11114191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808818560).

11114191872 is an abundant number, since it is smaller than the sum of its proper divisors (26503445248).

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

11114191872 is an equidigital number, since it uses as much as digits as its factorization.

11114191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57463 (or 57439 counting only the distinct ones).

The product of its digits is 4032, while the sum is 36.

The spelling of 11114191872 in words is "eleven billion, one hundred fourteen million, one hundred ninety-one thousand, eight hundred seventy-two".