114023114400 has 144 divisors (see below), whose sum is σ = 399694980384. Its totient is φ = 28067220480.

The previous prime is 114023114333. The next prime is 114023114407. The reversal of 114023114400 is 4411320411.

It is a super-3 number, since 3×114023114400³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114023114407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1796094 + ... + 1858493.

It is an arithmetic number, because the mean of its divisors is an integer number (2775659586).

Almost surely, 2^114023114400 is an apocalyptic number.

114023114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114023114400 is an abundant number, since it is smaller than the sum of its proper divisors (285671865984).

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

114023114400 is a wasteful number, since it uses less digits than its factorization.

114023114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654623 (or 3654610 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114023114400 its reverse (4411320411), we get a palindrome (118434434811).

The spelling of 114023114400 in words is "one hundred fourteen billion, twenty-three million, one hundred fourteen thousand, four hundred".