2378953584448 has 896 divisors, whose sum is σ = 6460784640000. Its totient is φ = 862272552960.

The previous prime is 2378953584421. The next prime is 2378953584463. The reversal of 2378953584448 is 8444853598732.

2378953584448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17364624636 + ... + 17364624772.

Almost surely, 2^{2378953584448} is an apocalyptic number.

2378953584448 is a gapful number since it is divisible by the number (28) 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 2378953584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230392320000).

2378953584448 is an abundant number, since it is smaller than the sum of its proper divisors (4081831055552).

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

2378953584448 is a wasteful number, since it uses less digits than its factorization.

2378953584448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 70.

The spelling of 2378953584448 in words is "two trillion, three hundred seventy-eight billion, nine hundred fifty-three million, five hundred eighty-four thousand, four hundred forty-eight".