114643200 has 216 divisors, whose sum is σ = 432902848. Its totient is φ = 26173440.

The previous prime is 114643171. The next prime is 114643219. The reversal of 114643200 is 2346411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133974 + ... + 134826.

Almost surely, 2^114643200 is an apocalyptic number.

114643200 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 114643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216451424).

114643200 is an abundant number, since it is smaller than the sum of its proper divisors (318259648).

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

114643200 is an equidigital number, since it uses as much as digits as its factorization.

114643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114643200 is about 10707.1564852672. The cubic root of 114643200 is about 485.7909649908.

Adding to 114643200 its reverse (2346411), we get a palindrome (116989611).

The spelling of 114643200 in words is "one hundred fourteen million, six hundred forty-three thousand, two hundred".