114434613603136 has 28 divisors (see below), whose sum is σ = 240438903216228. Its totient is φ = 53851582871552.

The previous prime is 114434613603109. The next prime is 114434613603209. The reversal of 114434613603136 is 631306316434411.

It can be written as a sum of positive squares in 2 ways, for example, as 55145476000000 + 59289137603136 = 7426000^2 + 7699944^2 .

It is a super-3 number, since 3×114434613603136³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52589435311 + ... + 52589437486.

Almost surely, 2^{114434613603136} is an apocalyptic number.

114434613603136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114434613603136 is an abundant number, since it is smaller than the sum of its proper divisors (126004289613092).

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

114434613603136 is a wasteful number, since it uses less digits than its factorization.

114434613603136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105178872826 (or 105178872816 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 114434613603136 in words is "one hundred fourteen trillion, four hundred thirty-four billion, six hundred thirteen million, six hundred three thousand, one hundred thirty-six".