1114108800 has 384 divisors, whose sum is σ = 4280083200. Its totient is φ = 249446400.

The previous prime is 1114108759. The next prime is 1114108811. The reversal of 1114108800 is 88014111.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3964660 + ... + 3964940.

It is an arithmetic number, because the mean of its divisors is an integer number (11146050).

Almost surely, 2^1114108800 is an apocalyptic number.

1114108800 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 1114108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140041600).

1114108800 is an abundant number, since it is smaller than the sum of its proper divisors (3165974400).

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

1114108800 is a wasteful number, since it uses less digits than its factorization.

1114108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The square root of 1114108800 is about 33378.2683792913. The cubic root of 1114108800 is about 1036.6747838797.

The spelling of 1114108800 in words is "one billion, one hundred fourteen million, one hundred eight thousand, eight hundred".