114411413200 has 90 divisors (see below), whose sum is σ = 319750768086. Its totient is φ = 39226763520.

The previous prime is 114411413197. The next prime is 114411413203. The reversal of 114411413200 is 2314114411.

It is an interprime number because it is at equal distance from previous prime (114411413197) and next prime (114411413203).

It can be written as a sum of positive squares in 3 ways, for example, as 270142096 + 114141271104 = 16436^2 + 337848^2 .

It is a super-2 number, since 2×114411413200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114411413203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2899059 + ... + 2938258.

Almost surely, 2^114411413200 is an apocalyptic number.

114411413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114411413200 is an abundant number, since it is smaller than the sum of its proper divisors (205339354886).

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

114411413200 is a wasteful number, since it uses less digits than its factorization.

114411413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5837349 (or 5837331 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 114411413200 its reverse (2314114411), we get a palindrome (116725527611).

The spelling of 114411413200 in words is "one hundred fourteen billion, four hundred eleven million, four hundred thirteen thousand, two hundred".