2378366385408 has 540 divisors, whose sum is σ = 8113336448140. Its totient is φ = 688735125504.

The previous prime is 2378366385407. The next prime is 2378366385419. The reversal of 2378366385408 is 8045836638732.

2378366385408 is a `hidden beast` number, since 2 + 3 + 7 + 83 + 6 + 6 + 3 + 8 + 540 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 162222061824 + 2216144323584 = 402768^2 + 1488672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378366385407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77889888 + ... + 77920416.

Almost surely, 2^{2378366385408} 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 2378366385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056668224070).

2378366385408 is an abundant number, since it is smaller than the sum of its proper divisors (5734970062732).

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

2378366385408 is a wasteful number, since it uses less digits than its factorization.

2378366385408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30604 (or 30564 counting only the distinct ones).

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

The spelling of 2378366385408 in words is "two trillion, three hundred seventy-eight billion, three hundred sixty-six million, three hundred eighty-five thousand, four hundred eight".