1832623968448 has 672 divisors, whose sum is σ = 4985717280768. Its totient is φ = 660383539200.

The previous prime is 1832623968443. The next prime is 1832623968457. The reversal of 1832623968448 is 8448693262381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1832623968448.

It is not an unprimeable number, because it can be changed into a prime (1832623968443) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1947527658 + ... + 1947528598.

It is an arithmetic number, because the mean of its divisors is an integer number (7419222144).

Almost surely, 2^{1832623968448} 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 1832623968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492858640384).

1832623968448 is an abundant number, since it is smaller than the sum of its proper divisors (3153093312320).

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

1832623968448 is a wasteful number, since it uses less digits than its factorization.

1832623968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1084 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 64.

The spelling of 1832623968448 in words is "one trillion, eight hundred thirty-two billion, six hundred twenty-three million, nine hundred sixty-eight thousand, four hundred forty-eight".