838816152812352 has 1120 divisors, whose sum is σ = 3072351727678464. Its totient is φ = 222780483993600.

The previous prime is 838816152812303. The next prime is 838816152812447. The reversal of 838816152812352 is 253218251618838.

838816152812352 is a `hidden beast` number, since 8 + 3 + 8 + 8 + 1 + 61 + 528 + 12 + 35 + 2 = 666.

It is a super-2 number, since 2×838816152812352² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 838816152812352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1217631268 + ... + 1218319964.

Almost surely, 2^{838816152812352} 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 838816152812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536175863839232).

838816152812352 is an abundant number, since it is smaller than the sum of its proper divisors (2233535574866112).

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

838816152812352 is a wasteful number, since it uses less digits than its factorization.

838816152812352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688829 (or 688810 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 63.

The spelling of 838816152812352 in words is "eight hundred thirty-eight trillion, eight hundred sixteen billion, one hundred fifty-two million, eight hundred twelve thousand, three hundred fifty-two".