838363084416 has 640 divisors, whose sum is σ = 3085509873600. Its totient is φ = 222157209600.

The previous prime is 838363084411. The next prime is 838363084423. The reversal of 838363084416 is 614480363838.

It is a super-2 number, since 2×838363084416² (a number of 25 digits) contains 22 as substring.

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 (838363084411) 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 79 ways as a sum of consecutive naturals, for example, 28154976 + ... + 28184736.

Almost surely, 2^838363084416 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 838363084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542754936800).

838363084416 is an abundant number, since it is smaller than the sum of its proper divisors (2247146789184).

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

838363084416 is a wasteful number, since it uses less digits than its factorization.

838363084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29830 (or 29809 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 838363084416 in words is "eight hundred thirty-eight billion, three hundred sixty-three million, eighty-four thousand, four hundred sixteen".