114195102361344 has 162 divisors, whose sum is σ = 349759718781200. Its totient is φ = 35825914257408.

The previous prime is 114195102361331. The next prime is 114195102361381. The reversal of 114195102361344 is 443163201591411.

114195102361344 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 9 + 5 + 1 + 0 + 23 + 613 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114195102361344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85084744 + ... + 86416455.

Almost surely, 2^{114195102361344} is an apocalyptic number.

It is an amenable number.

114195102361344 is an abundant number, since it is smaller than the sum of its proper divisors (235564616419856).

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

114195102361344 is a wasteful number, since it uses less digits than its factorization.

114195102361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171501255 (or 171501221 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 114195102361344 in words is "one hundred fourteen trillion, one hundred ninety-five billion, one hundred two million, three hundred sixty-one thousand, three hundred forty-four".