2092114144512 has 576 divisors, whose sum is σ = 7421317263360. Its totient is φ = 568400633856.

The previous prime is 2092114144427. The next prime is 2092114144541. The reversal of 2092114144512 is 2154414112902.

2092114144512 is a `hidden beast` number, since 2 + 0 + 92 + 1 + 14 + 1 + 44 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192514503 + ... + 192525369.

It is an arithmetic number, because the mean of its divisors is an integer number (12884231360).

Almost surely, 2^{2092114144512} 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 2092114144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710658631680).

2092114144512 is an abundant number, since it is smaller than the sum of its proper divisors (5329203118848).

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

2092114144512 is a wasteful number, since it uses less digits than its factorization.

2092114144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095 (or 11075 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2092114144512 in words is "two trillion, ninety-two billion, one hundred fourteen million, one hundred forty-four thousand, five hundred twelve".