1113825600 has 672 divisors, whose sum is σ = 4535424000. Its totient is φ = 264591360.

The previous prime is 1113825571. The next prime is 1113825611. The reversal of 1113825600 is 65283111.

1113825600 is a `hidden beast` number, since 1 + 1 + 1 + 38 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18878371 + ... + 18878429.

Almost surely, 2^1113825600 is an apocalyptic number.

1113825600 is a gapful number since it is divisible by the number (10) 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 1113825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267712000).

1113825600 is an abundant number, since it is smaller than the sum of its proper divisors (3421598400).

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

1113825600 is a wasteful number, since it uses less digits than its factorization.

1113825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1113825600 is about 33374.0258284792. The cubic root of 1113825600 is about 1036.5869375287.

The spelling of 1113825600 in words is "one billion, one hundred thirteen million, eight hundred twenty-five thousand, six hundred".