2289474315648 has 1280 divisors, whose sum is σ = 8375103475200. Its totient is φ = 613010571264.

The previous prime is 2289474315637. The next prime is 2289474315671. The reversal of 2289474315648 is 8465134749822.

2289474315648 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 474 + 3 + 156 + 4 + 8 = 666.

It is a super-3 number, since 3×2289474315648³ (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 159 ways as a sum of consecutive naturals, for example, 1872014365 + ... + 1872015587.

It is an arithmetic number, because the mean of its divisors is an integer number (6543049590).

Almost surely, 2^{2289474315648} 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 2289474315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187551737600).

2289474315648 is an abundant number, since it is smaller than the sum of its proper divisors (6085629159552).

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

2289474315648 is a wasteful number, since it uses less digits than its factorization.

2289474315648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1320 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 2289474315648 in words is "two trillion, two hundred eighty-nine billion, four hundred seventy-four million, three hundred fifteen thousand, six hundred forty-eight".