114255011050400 has 72 divisors (see below), whose sum is σ = 304281868089024. Its totient is φ = 41547276742400.

The previous prime is 114255011050391. The next prime is 114255011050409. The reversal of 114255011050400 is 4050110552411.

114255011050400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114255011050391) and next prime (114255011050409).

It is a super-2 number, since 2×114255011050400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114255011050409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6491753192 + ... + 6491770791.

It is an arithmetic number, because the mean of its divisors is an integer number (4226137056792).

Almost surely, 2^{114255011050400} is an apocalyptic number.

114255011050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114255011050400 is an abundant number, since it is smaller than the sum of its proper divisors (190026857038624).

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

114255011050400 is a wasteful number, since it uses less digits than its factorization.

114255011050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12983524014 (or 12983524001 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The spelling of 114255011050400 in words is "one hundred fourteen trillion, two hundred fifty-five billion, eleven million, fifty thousand, four hundred".