114368800 has 144 divisors (see below), whose sum is σ = 343852992. Its totient is φ = 36172800.

The previous prime is 114368789. The next prime is 114368801. The reversal of 114368800 is 8863411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114368801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72015 + ... + 73585.

It is an arithmetic number, because the mean of its divisors is an integer number (2387868).

Almost surely, 2^114368800 is an apocalyptic number.

114368800 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 114368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171926496).

114368800 is an abundant number, since it is smaller than the sum of its proper divisors (229484192).

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

114368800 is a wasteful number, since it uses less digits than its factorization.

114368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 114368800 is about 10694.3349489344. The cubic root of 114368800 is about 485.4030730064.

The spelling of 114368800 in words is "one hundred fourteen million, three hundred sixty-eight thousand, eight hundred".