116448000 has 144 divisors (see below), whose sum is σ = 387100896. Its totient is φ = 31027200.

The previous prime is 116447987. The next prime is 116448001. The reversal of 116448000 is 844611.

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

It is not an unprimeable number, because it can be changed into a prime (116448001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95394 + ... + 96606.

Almost surely, 2^116448000 is an apocalyptic number.

116448000 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 116448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193550448).

116448000 is an abundant number, since it is smaller than the sum of its proper divisors (270652896).

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

116448000 is an equidigital number, since it uses as much as digits as its factorization.

116448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 116448000 is about 10791.1074501184. The cubic root of 116448000 is about 488.3269331231.

The spelling of 116448000 in words is "one hundred sixteen million, four hundred forty-eight thousand".