114050138832 has 640 divisors, whose sum is σ = 414037785600. Its totient is φ = 29305995264.

The previous prime is 114050138809. The next prime is 114050138833. The reversal of 114050138832 is 238831050411.

114050138832 is a `hidden beast` number, since 1 + 1 + 40 + 501 + 3 + 88 + 32 = 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 (114050138833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168463678 + ... + 168464354.

It is an arithmetic number, because the mean of its divisors is an integer number (646934040).

Almost surely, 2^114050138832 is an apocalyptic number.

114050138832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114050138832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207018892800).

114050138832 is an abundant number, since it is smaller than the sum of its proper divisors (299987646768).

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

114050138832 is a wasteful number, since it uses less digits than its factorization.

114050138832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 114050138832 in words is "one hundred fourteen billion, fifty million, one hundred thirty-eight thousand, eight hundred thirty-two".