838146908160 has 896 divisors, whose sum is σ = 3154846786560. Its totient is φ = 210680414208.

The previous prime is 838146908153. The next prime is 838146908161. The reversal of 838146908160 is 61809641838.

838146908160 is a `hidden beast` number, since 8 + 381 + 46 + 90 + 81 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 838146908097 and 838146908106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838146908161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111201082 + ... + 2111201478.

It is an arithmetic number, because the mean of its divisors is an integer number (3521034360).

Almost surely, 2^838146908160 is an apocalyptic number.

838146908160 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 838146908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577423393280).

838146908160 is an abundant number, since it is smaller than the sum of its proper divisors (2316699878400).

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

838146908160 is a wasteful number, since it uses less digits than its factorization.

838146908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 838146908160 in words is "eight hundred thirty-eight billion, one hundred forty-six million, nine hundred eight thousand, one hundred sixty".