838682232192 has 320 divisors, whose sum is σ = 2900824185600. Its totient is φ = 235560877056.

The previous prime is 838682232149. The next prime is 838682232197. The reversal of 838682232192 is 291232286838.

838682232192 is a `hidden beast` number, since 83 + 86 + 82 + 2 + 321 + 92 = 666.

It is a super-2 number, since 2×838682232192² (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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838682232197) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4184053 + ... + 4379915.

It is an arithmetic number, because the mean of its divisors is an integer number (9065075580).

Almost surely, 2^838682232192 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 838682232192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450412092800).

838682232192 is an abundant number, since it is smaller than the sum of its proper divisors (2062141953408).

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

838682232192 is a wasteful number, since it uses less digits than its factorization.

838682232192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195955 (or 195934 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 838682232192 in words is "eight hundred thirty-eight billion, six hundred eighty-two million, two hundred thirty-two thousand, one hundred ninety-two".