115105441644 has 144 divisors (see below), whose sum is σ = 309967257600. Its totient is φ = 35890656768.

The previous prime is 115105441639. The next prime is 115105441687. The reversal of 115105441644 is 446144501511.

115105441644 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 0 + 5 + 4 + 4 + 1 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115105441599 and 115105441608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89995797 + ... + 89997075.

It is an arithmetic number, because the mean of its divisors is an integer number (2152550400).

Almost surely, 2^115105441644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115105441644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154983628800).

115105441644 is an abundant number, since it is smaller than the sum of its proper divisors (194861815956).

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

115105441644 is a wasteful number, since it uses less digits than its factorization.

115105441644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 115105441644 in words is "one hundred fifteen billion, one hundred five million, four hundred forty-one thousand, six hundred forty-four".