376916406048 has 432 divisors, whose sum is σ = 1350821155320. Its totient is φ = 99398347776.

The previous prime is 376916406029. The next prime is 376916406071. The reversal of 376916406048 is 840604619673.

It can be written as a sum of positive squares in 4 ways, for example, as 2651426064 + 374264979984 = 51492^2 + 611772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 376916405985 and 376916406003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30997986 + ... + 31010142.

Almost surely, 2^376916406048 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 376916406048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675410577660).

376916406048 is an abundant number, since it is smaller than the sum of its proper divisors (973904749272).

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

376916406048 is a wasteful number, since it uses less digits than its factorization.

376916406048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12226 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 376916406048 in words is "three hundred seventy-six billion, nine hundred sixteen million, four hundred six thousand, forty-eight".