114357888 has 96 divisors (see below), whose sum is σ = 335464740. Its totient is φ = 37380096.

The previous prime is 114357883. The next prime is 114357889. The reversal of 114357888 is 888753411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 109998144 + 4359744 = 10488^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (114357883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60120 + ... + 61992.

Almost surely, 2^114357888 is an apocalyptic number.

114357888 is a gapful number since it is divisible by the number (18) 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 114357888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167732370).

114357888 is an abundant number, since it is smaller than the sum of its proper divisors (221106852).

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

114357888 is a wasteful number, since it uses less digits than its factorization.

114357888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1931 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 114357888 is about 10693.8247601127. The cubic root of 114357888 is about 485.3876349767.

The spelling of 114357888 in words is "one hundred fourteen million, three hundred fifty-seven thousand, eight hundred eighty-eight".