114186055104 has 420 divisors, whose sum is σ = 382587035688. Its totient is φ = 33394636800.

The previous prime is 114186055103. The next prime is 114186055127. The reversal of 114186055104 is 401550681411.

114186055104 is a `hidden beast` number, since 1 + 1 + 41 + 8 + 60 + 551 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114186055103) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47955994 + ... + 47958374.

Almost surely, 2^114186055104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114186055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191293517844).

114186055104 is an abundant number, since it is smaller than the sum of its proper divisors (268400980584).

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

114186055104 is a wasteful number, since it uses less digits than its factorization.

114186055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 114186055104 in words is "one hundred fourteen billion, one hundred eighty-six million, fifty-five thousand, one hundred four".