114415641100 has 72 divisors (see below), whose sum is σ = 252172641168. Its totient is φ = 45053030400.

The previous prime is 114415641097. The next prime is 114415641133. The reversal of 114415641100 is 1146514411.

114415641100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2307772 + ... + 2356828.

It is an arithmetic number, because the mean of its divisors is an integer number (3502397794).

Almost surely, 2^114415641100 is an apocalyptic number.

114415641100 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 114415641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126086320584).

114415641100 is an abundant number, since it is smaller than the sum of its proper divisors (137757000068).

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

114415641100 is a wasteful number, since it uses less digits than its factorization.

114415641100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49435 (or 49428 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 114415641100 in words is "one hundred fourteen billion, four hundred fifteen million, six hundred forty-one thousand, one hundred".