2045113059744 has 288 divisors, whose sum is σ = 6142861670400. Its totient is φ = 644526512640.

The previous prime is 2045113059709. The next prime is 2045113059767. The reversal of 2045113059744 is 4479503115402.

2045113059744 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 1 + 13 + 0 + 597 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2045113059744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85848667 + ... + 85872485.

It is an arithmetic number, because the mean of its divisors is an integer number (21329380800).

Almost surely, 2^{2045113059744} is an apocalyptic number.

2045113059744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045113059744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071430835200).

2045113059744 is an abundant number, since it is smaller than the sum of its proper divisors (4097748610656).

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

2045113059744 is a wasteful number, since it uses less digits than its factorization.

2045113059744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24088 (or 24077 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2045113059744 in words is "two trillion, forty-five billion, one hundred thirteen million, fifty-nine thousand, seven hundred forty-four".