114641771772 has 144 divisors (see below), whose sum is σ = 298173657600. Its totient is φ = 33993573120.

The previous prime is 114641771771. The next prime is 114641771789. The reversal of 114641771772 is 277177146411.

114641771772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114641771771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201479104 + ... + 201479672.

It is an arithmetic number, because the mean of its divisors is an integer number (2070650400).

Almost surely, 2^114641771772 is an apocalyptic number.

114641771772 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 114641771772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149086828800).

114641771772 is an abundant number, since it is smaller than the sum of its proper divisors (183531885828).

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

114641771772 is a wasteful number, since it uses less digits than its factorization.

114641771772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 803 counting only the distinct ones).

The product of its digits is 460992, while the sum is 48.

The spelling of 114641771772 in words is "one hundred fourteen billion, six hundred forty-one million, seven hundred seventy-one thousand, seven hundred seventy-two".