11842818624 has 896 divisors, whose sum is σ = 46085760000. Its totient is φ = 2958778368.

The previous prime is 11842818607. The next prime is 11842818643. The reversal of 11842818624 is 42681824811.

11842818624 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 2 + 8 + 18 + 624 = 666.

It is a super-2 number, since 2×11842818624² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11842818624.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223449382 + ... + 223449434.

It is an arithmetic number, because the mean of its divisors is an integer number (51435000).

Almost surely, 2^11842818624 is an apocalyptic number.

11842818624 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 11842818624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880000).

11842818624 is an abundant number, since it is smaller than the sum of its proper divisors (34242941376).

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

11842818624 is a wasteful number, since it uses less digits than its factorization.

11842818624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The spelling of 11842818624 in words is "eleven billion, eight hundred forty-two million, eight hundred eighteen thousand, six hundred twenty-four".