1113921600 has 504 divisors, whose sum is σ = 4293156768. Its totient is φ = 250675200.

The previous prime is 1113921587. The next prime is 1113921623. The reversal of 1113921600 is 61293111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15259164 + ... + 15259236.

Almost surely, 2^1113921600 is an apocalyptic number.

1113921600 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 1113921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146578384).

1113921600 is an abundant number, since it is smaller than the sum of its proper divisors (3179235168).

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

1113921600 is a wasteful number, since it uses less digits than its factorization.

1113921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1113921600 is about 33375.4640417178. The cubic root of 1113921600 is about 1036.6167176209.

The spelling of 1113921600 in words is "one billion, one hundred thirteen million, nine hundred twenty-one thousand, six hundred".