11874100224 has 352 divisors, whose sum is σ = 37730304000. Its totient is φ = 3317637120.

The previous prime is 11874100219. The next prime is 11874100237. The reversal of 11874100224 is 42200147811.

It is a super-2 number, since 2×11874100224² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11874100191 and 11874100200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62167969 + ... + 62168159.

Almost surely, 2^11874100224 is an apocalyptic number.

11874100224 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 11874100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865152000).

11874100224 is an abundant number, since it is smaller than the sum of its proper divisors (25856203776).

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

11874100224 is an equidigital number, since it uses as much as digits as its factorization.

11874100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 11874100224 in words is "eleven billion, eight hundred seventy-four million, one hundred thousand, two hundred twenty-four".