838353904752 has 240 divisors, whose sum is σ = 2689511971328. Its totient is φ = 219133071360.

The previous prime is 838353904747. The next prime is 838353904753. The reversal of 838353904752 is 257409353838.

It is a super-2 number, since 2×838353904752² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 838353904692 and 838353904701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838353904753) 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, 55767477 + ... + 55782507.

Almost surely, 2^838353904752 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 838353904752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344755985664).

838353904752 is an abundant number, since it is smaller than the sum of its proper divisors (1851158066576).

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

838353904752 is a wasteful number, since it uses less digits than its factorization.

838353904752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15288 (or 15169 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 838353904752 in words is "eight hundred thirty-eight billion, three hundred fifty-three million, nine hundred four thousand, seven hundred fifty-two".