2438078394456 has 96 divisors (see below), whose sum is σ = 6702470938800. Its totient is φ = 800468951040.

The previous prime is 2438078394449. The next prime is 2438078394461. The reversal of 2438078394456 is 6544938708342.

2438078394456 is a `hidden beast` number, since 2 + 4 + 3 + 80 + 78 + 39 + 4 + 456 = 666.

2438078394456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2438078394393 and 2438078394402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49609576 + ... + 49658696.

Almost surely, 2^{2438078394456} 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 2438078394456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351235469400).

2438078394456 is an abundant number, since it is smaller than the sum of its proper divisors (4264392544344).

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

2438078394456 is a wasteful number, since it uses less digits than its factorization.

2438078394456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59489 (or 59482 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 2438078394456 in words is "two trillion, four hundred thirty-eight billion, seventy-eight million, three hundred ninety-four thousand, four hundred fifty-six".