114322314400 has 288 divisors, whose sum is σ = 329885136000. Its totient is φ = 37876101120.

The previous prime is 114322314377. The next prime is 114322314401. The reversal of 114322314400 is 4413223411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (114322314401) 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, 19882726 + ... + 19888474.

It is an arithmetic number, because the mean of its divisors is an integer number (1145434500).

Almost surely, 2^114322314400 is an apocalyptic number.

114322314400 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 114322314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164942568000).

114322314400 is an abundant number, since it is smaller than the sum of its proper divisors (215562821600).

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

114322314400 is a wasteful number, since it uses less digits than its factorization.

114322314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 114322314400 its reverse (4413223411), we get a palindrome (118735537811).

The spelling of 114322314400 in words is "one hundred fourteen billion, three hundred twenty-two million, three hundred fourteen thousand, four hundred".