378508425715849 has 243 divisors, whose sum is σ = 491023085362047. Its totient is φ = 291362467968000.

The previous prime is 378508425715843. The next prime is 378508425715873. The reversal of 378508425715849 is 948517524805873.

The square root of 378508425715849 is 19455293.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 139273159974025 + 239235265741824 = 11801405^2 + 15467232^2 .

It is not a de Polignac number, because 378508425715849 - 2⁹ = 378508425715337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (378508425715843) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2506678315924 + ... + 2506678316074.

Almost surely, 2^{378508425715849} is an apocalyptic number.

378508425715849 is the 19455293-rd square number.

378508425715849 is the 9727647-th centered octagonal number.

It is an amenable number.

378508425715849 is a deficient number, since it is larger than the sum of its proper divisors (112514659646198).

378508425715849 is a wasteful number, since it uses less digits than its factorization.

378508425715849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2709504000, while the sum is 76.

The spelling of 378508425715849 in words is "three hundred seventy-eight trillion, five hundred eight billion, four hundred twenty-five million, seven hundred fifteen thousand, eight hundred forty-nine".