838683046080 has 336 divisors, whose sum is σ = 3263525201664. Its totient is φ = 203316894720.

The previous prime is 838683046021. The next prime is 838683046087. The reversal of 838683046080 is 80640386838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (838683046087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365109 + ... + 1345611.

It is an arithmetic number, because the mean of its divisors is an integer number (9712872624).

Almost surely, 2^838683046080 is an apocalyptic number.

838683046080 is a gapful number since it is divisible by the number (80) 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 838683046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631762600832).

838683046080 is an abundant number, since it is smaller than the sum of its proper divisors (2424842155584).

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

838683046080 is a wasteful number, since it uses less digits than its factorization.

838683046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980546 (or 980524 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 838683046080 in words is "eight hundred thirty-eight billion, six hundred eighty-three million, forty-six thousand, eighty".