114012254400 has 672 divisors, whose sum is σ = 438394083840. Its totient is φ = 25632768000.

The previous prime is 114012254399. The next prime is 114012254423. The reversal of 114012254400 is 4452210411.

114012254400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63728706 + ... + 63730494.

Almost surely, 2^114012254400 is an apocalyptic number.

114012254400 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 114012254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219197041920).

114012254400 is an abundant number, since it is smaller than the sum of its proper divisors (324381829440).

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

114012254400 is a wasteful number, since it uses less digits than its factorization.

114012254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 114012254400 its reverse (4452210411), we get a palindrome (118464464811).

The spelling of 114012254400 in words is "one hundred fourteen billion, twelve million, two hundred fifty-four thousand, four hundred".