114214400 has 60 divisors (see below), whose sum is σ = 283006812. Its totient is φ = 45680640.

The previous prime is 114214379. The next prime is 114214409. The reversal of 114214400 is 4412411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114214409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8339 + ... + 17261.

Almost surely, 2^114214400 is an apocalyptic number.

114214400 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 114214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141503406).

114214400 is an abundant number, since it is smaller than the sum of its proper divisors (168792412).

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

114214400 is an frugal number, since it uses more digits than its factorization.

114214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8951 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 114214400 is about 10687.1137357099. The cubic root of 114214400 is about 485.1845402537.

Adding to 114214400 its reverse (4412411), we get a palindrome (118626811).

The spelling of 114214400 in words is "one hundred fourteen million, two hundred fourteen thousand, four hundred".