114833939220 has 1728 divisors, whose sum is σ = 513518745600. Its totient is φ = 21076070400.

The previous prime is 114833939219. The next prime is 114833939303. The reversal of 114833939220 is 22939338411.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1290268936 + ... + 1290269024.

It is an arithmetic number, because the mean of its divisors is an integer number (297175200).

Almost surely, 2^114833939220 is an apocalyptic number.

114833939220 is a gapful number since it is divisible by the number (10) 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 114833939220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256759372800).

114833939220 is an abundant number, since it is smaller than the sum of its proper divisors (398684806380).

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

114833939220 is a wasteful number, since it uses less digits than its factorization.

114833939220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 114833939220 in words is "one hundred fourteen billion, eight hundred thirty-three million, nine hundred thirty-nine thousand, two hundred twenty".