114085277589444 has 768 divisors, whose sum is σ = 340266015129600. Its totient is φ = 29013127004160.

The previous prime is 114085277589433. The next prime is 114085277589457. The reversal of 114085277589444 is 444985772580411.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104954256669 + ... + 104954257755.

It is an arithmetic number, because the mean of its divisors is an integer number (443054707200).

Almost surely, 2^{114085277589444} is an apocalyptic number.

114085277589444 is a gapful number since it is divisible by the number (14) 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 114085277589444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170133007564800).

114085277589444 is an abundant number, since it is smaller than the sum of its proper divisors (226180737540156).

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

114085277589444 is a wasteful number, since it uses less digits than its factorization.

114085277589444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 69.

The spelling of 114085277589444 in words is "one hundred fourteen trillion, eighty-five billion, two hundred seventy-seven million, five hundred eighty-nine thousand, four hundred forty-four".