11242785024 has 135 divisors (see below), whose sum is σ = 33120410323. Its totient is φ = 3667858944.

The previous prime is 11242785019. The next prime is 11242785041. The reversal of 11242785024 is 42058724211.

The square root of 11242785024 is 106032.

It is a perfect power (a square), and thus also a powerful number.

11242785024 is a `hidden beast` number, since 1 + 124 + 27 + 8 + 502 + 4 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11242785024.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 239208169 + ... + 239208215.

Almost surely, 2^11242785024 is an apocalyptic number.

11242785024 is the 106032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242785024

11242785024 is an abundant number, since it is smaller than the sum of its proper divisors (21877625299).

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

11242785024 is an frugal number, since it uses more digits than its factorization.

11242785024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Multiplying 11242785024 by its sum of digits (36), we get a square (404740260864 = 636192²).

11242785024 divided by its sum of digits (36) gives a square (312299584 = 17672²).

The spelling of 11242785024 in words is "eleven billion, two hundred forty-two million, seven hundred eighty-five thousand, twenty-four".