114333032320400 has 60 divisors (see below), whose sum is σ = 281384747023044. Its totient is φ = 44617768704000.

The previous prime is 114333032320393. The next prime is 114333032320453. The reversal of 114333032320400 is 4023230333411.

It can be written as a sum of positive squares in 6 ways, for example, as 43368178044304 + 70964854276096 = 6585452^2 + 8424064^2 .

It is a super-3 number, since 3×114333032320400³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3485746781 + ... + 3485779580.

Almost surely, 2^{114333032320400} is an apocalyptic number.

114333032320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114333032320400 is an abundant number, since it is smaller than the sum of its proper divisors (167051714702644).

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

114333032320400 is a wasteful number, since it uses less digits than its factorization.

114333032320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971526420 (or 6971526409 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 114333032320400 its reverse (4023230333411), we get a palindrome (118356262653811).

The spelling of 114333032320400 in words is "one hundred fourteen trillion, three hundred thirty-three billion, thirty-two million, three hundred twenty thousand, four hundred".