2533461748956 has 192 divisors, whose sum is σ = 6960478694400. Its totient is φ = 795518841600.

The previous prime is 2533461748919. The next prime is 2533461748967. The reversal of 2533461748956 is 6598471643352.

2533461748956 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 4 + 617 + 4 + 8 + 9 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2533461748893 and 2533461748902.

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 63 ways as a sum of consecutive naturals, for example, 126720121 + ... + 126740111.

It is an arithmetic number, because the mean of its divisors is an integer number (36252493200).

Almost surely, 2^{2533461748956} 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 2533461748956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480239347200).

2533461748956 is an abundant number, since it is smaller than the sum of its proper divisors (4427016945444).

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

2533461748956 is a wasteful number, since it uses less digits than its factorization.

2533461748956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21017 (or 21009 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 2533461748956 in words is "two trillion, five hundred thirty-three billion, four hundred sixty-one million, seven hundred forty-eight thousand, nine hundred fifty-six".