2131366044456 has 256 divisors, whose sum is σ = 6638627116800. Its totient is φ = 627902668800.

The previous prime is 2131366044407. The next prime is 2131366044461. The reversal of 2131366044456 is 6544406631312.

2131366044456 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 36 + 604 + 4 + 4 + 5 + 6 = 666.

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, 116122576 + ... + 116140928.

It is an arithmetic number, because the mean of its divisors is an integer number (25932137175).

Almost surely, 2^{2131366044456} 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 2131366044456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319313558400).

2131366044456 is an abundant number, since it is smaller than the sum of its proper divisors (4507261072344).

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

2131366044456 is a wasteful number, since it uses less digits than its factorization.

2131366044456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19737 (or 19727 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2131366044456 in words is "two trillion, one hundred thirty-one billion, three hundred sixty-six million, forty-four thousand, four hundred fifty-six".