114232232402400 has 288 divisors, whose sum is σ = 428001063678720. Its totient is φ = 25922380677120.

The previous prime is 114232232402359. The next prime is 114232232402401. The reversal of 114232232402400 is 4204232232411.

114232232402400 is digitally balanced in base 4, 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114232232402401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22123569 + ... + 26793968.

It is an arithmetic number, because the mean of its divisors is an integer number (1486114804440).

Almost surely, 2^{114232232402400} is an apocalyptic number.

114232232402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114232232402400 is an abundant number, since it is smaller than the sum of its proper divisors (313768831276320).

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

114232232402400 is a wasteful number, since it uses less digits than its factorization.

114232232402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48917706 (or 48917693 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 114232232402400 its reverse (4204232232411), we get a palindrome (118436464634811).

The spelling of 114232232402400 in words is "one hundred fourteen trillion, two hundred thirty-two billion, two hundred thirty-two million, four hundred two thousand, four hundred".