2023457765472 has 288 divisors, whose sum is σ = 6825835650816. Its totient is φ = 560505830400.

The previous prime is 2023457765453. The next prime is 2023457765513. The reversal of 2023457765472 is 2745677543202.

2023457765472 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 4 + 577 + 65 + 4 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4003447 + ... + 4480457.

It is an arithmetic number, because the mean of its divisors is an integer number (23700818232).

Almost surely, 2^{2023457765472} is an apocalyptic number.

2023457765472 is a gapful number since it is divisible by the number (22) 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 2023457765472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412917825408).

2023457765472 is an abundant number, since it is smaller than the sum of its proper divisors (4802377885344).

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

2023457765472 is a wasteful number, since it uses less digits than its factorization.

2023457765472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477154 (or 477143 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 2023457765472 in words is "two trillion, twenty-three billion, four hundred fifty-seven million, seven hundred sixty-five thousand, four hundred seventy-two".