2303125524544 has 224 divisors, whose sum is σ = 5396492717280. Its totient is φ = 964978409472.

The previous prime is 2303125524523. The next prime is 2303125524593. The reversal of 2303125524544 is 4454255213032.

It can be written as a sum of positive squares in 16 ways, for example, as 283543470144 + 2019582054400 = 532488^2 + 1421120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2303125524497 and 2303125524506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523792554 + ... + 523796950.

It is an arithmetic number, because the mean of its divisors is an integer number (24091485345).

Almost surely, 2^{2303125524544} 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 2303125524544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698246358640).

2303125524544 is an abundant number, since it is smaller than the sum of its proper divisors (3093367192736).

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

2303125524544 is a wasteful number, since it uses less digits than its factorization.

2303125524544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 2303125524544 in words is "two trillion, three hundred three billion, one hundred twenty-five million, five hundred twenty-four thousand, five hundred forty-four".