1113552000 has 768 divisors, whose sum is σ = 4716316800. Its totient is φ = 248832000.

The previous prime is 1113551977. The next prime is 1113552043. The reversal of 1113552000 is 2553111.

1113552000 is a `hidden beast` number, since 1 + 113 + 552 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30095982 + ... + 30096018.

Almost surely, 2^1113552000 is an apocalyptic number.

1113552000 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 1113552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358158400).

1113552000 is an abundant number, since it is smaller than the sum of its proper divisors (3602764800).

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

1113552000 is a wasteful number, since it uses less digits than its factorization.

1113552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1113552000 is about 33369.9265806804. The cubic root of 1113552000 is about 1036.5020548770.

The spelling of 1113552000 in words is "one billion, one hundred thirteen million, five hundred fifty-two thousand".