2045795659776 has 312 divisors, whose sum is σ = 6454198707840. Its totient is φ = 619204608000.

The previous prime is 2045795659769. The next prime is 2045795659781. The reversal of 2045795659776 is 6779565975402.

2045795659776 is a `hidden beast` number, since 2 + 0 + 4 + 57 + 9 + 565 + 9 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413206101 + ... + 413211051.

It is an arithmetic number, because the mean of its divisors is an integer number (20686534320).

Almost surely, 2^{2045795659776} 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 2045795659776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227099353920).

2045795659776 is an abundant number, since it is smaller than the sum of its proper divisors (4408403048064).

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

2045795659776 is a wasteful number, since it uses less digits than its factorization.

2045795659776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 1000188000, while the sum is 72.

The spelling of 2045795659776 in words is "two trillion, forty-five billion, seven hundred ninety-five million, six hundred fifty-nine thousand, seven hundred seventy-six".