836129228352 has 504 divisors, whose sum is σ = 2661636214944. Its totient is φ = 230670950400.

The previous prime is 836129228351. The next prime is 836129228377. The reversal of 836129228352 is 253822921638.

It is a super-2 number, since 2×836129228352² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 836129228295 and 836129228304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (836129228351) 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 71 ways as a sum of consecutive naturals, for example, 379540083 + ... + 379542285.

It is an arithmetic number, because the mean of its divisors is an integer number (5281024236).

Almost surely, 2^836129228352 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 836129228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330818107472).

836129228352 is an abundant number, since it is smaller than the sum of its proper divisors (1825506986592).

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

836129228352 is a wasteful number, since it uses less digits than its factorization.

836129228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2267 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 836129228352 in words is "eight hundred thirty-six billion, one hundred twenty-nine million, two hundred twenty-eight thousand, three hundred fifty-two".