83406106144112 has 80 divisors (see below), whose sum is σ = 166839759176160. Its totient is φ = 40362572906496.

The previous prime is 83406106144099. The next prime is 83406106144129. The reversal of 83406106144112 is 21144160160438.

It is a self number, because there is not a number n which added to its sum of digits gives 83406106144112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264421248 + ... + 2264458080.

It is an arithmetic number, because the mean of its divisors is an integer number (2085496989702).

Almost surely, 2^{83406106144112} is an apocalyptic number.

It is an amenable number.

83406106144112 is an abundant number, since it is smaller than the sum of its proper divisors (83433653032048).

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

83406106144112 is a wasteful number, since it uses less digits than its factorization.

83406106144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56890 (or 56884 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 83406106144112 in words is "eighty-three trillion, four hundred six billion, one hundred six million, one hundred forty-four thousand, one hundred twelve".