11124381929472 has 728 divisors, whose sum is σ = 40362206976576. Its totient is φ = 2991334883328.

The previous prime is 11124381929471. The next prime is 11124381929483. The reversal of 11124381929472 is 27492918342111.

11124381929472 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 4 + 3 + 81 + 92 + 9 + 472 = 666.

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

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 not an unprimeable number, because it can be changed into a prime (11124381929471) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 355316443 + ... + 355347749.

Almost surely, 2^{11124381929472} is an apocalyptic number.

11124381929472 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 11124381929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20181103488288).

11124381929472 is an abundant number, since it is smaller than the sum of its proper divisors (29237825047104).

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

11124381929472 is an frugal number, since it uses more digits than its factorization.

11124381929472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31373 (or 31336 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 11124381929472 in words is "eleven trillion, one hundred twenty-four billion, three hundred eighty-one million, nine hundred twenty-nine thousand, four hundred seventy-two".