838045516 has 96 divisors (see below), whose sum is σ = 1869235200. Its totient is φ = 321995520.

The previous prime is 838045501. The next prime is 838045529. The reversal of 838045516 is 615540838.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4211185 + ... + 4211383.

It is an arithmetic number, because the mean of its divisors is an integer number (19471200).

Almost surely, 2^838045516 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 838045516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934617600).

838045516 is an abundant number, since it is smaller than the sum of its proper divisors (1031189684).

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

838045516 is a wasteful number, since it uses less digits than its factorization.

838045516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 838045516 is about 28949.0158036504. The cubic root of 838045516 is about 942.8064295475.

The spelling of 838045516 in words is "eight hundred thirty-eight million, forty-five thousand, five hundred sixteen".