114400032 has 24 divisors (see below), whose sum is σ = 300300336. Its totient is φ = 38133312.

The previous prime is 114400031. The next prime is 114400061. The reversal of 114400032 is 230004411.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 114399984 and 114400020.

It is not an unprimeable number, because it can be changed into a prime (114400031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 595738 + ... + 595929.

It is an arithmetic number, because the mean of its divisors is an integer number (12512514).

Almost surely, 2^114400032 is an apocalyptic number.

114400032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114400032 is an abundant number, since it is smaller than the sum of its proper divisors (185900304).

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

114400032 is a wasteful number, since it uses less digits than its factorization.

114400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191680 (or 1191672 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 114400032 is about 10695.7950616118. The cubic root of 114400032 is about 485.4472538465.

Adding to 114400032 its reverse (230004411), we get a palindrome (344404443).

The spelling of 114400032 in words is "one hundred fourteen million, four hundred thousand, thirty-two".