11114621724024 has 384 divisors, whose sum is σ = 38337376896000. Its totient is φ = 2890036558080.

The previous prime is 11114621723993. The next prime is 11114621724043. The reversal of 11114621724024 is 42042712641111.

11114621724024 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 4 + 621 + 7 + 2 + 4 + 0 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11114621724024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22550607 + ... + 23038209.

It is an arithmetic number, because the mean of its divisors is an integer number (99836919000).

Almost surely, 2^{11114621724024} is an apocalyptic number.

11114621724024 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 11114621724024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168688448000).

11114621724024 is an abundant number, since it is smaller than the sum of its proper divisors (27222755171976).

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

11114621724024 is a wasteful number, since it uses less digits than its factorization.

11114621724024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487720 (or 487699 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11114621724024 in words is "eleven trillion, one hundred fourteen billion, six hundred twenty-one million, seven hundred twenty-four thousand, twenty-four".