32834117638668 has 192 divisors, whose sum is σ = 83200661913600. Its totient is φ = 10053336142080.

The previous prime is 32834117638667. The next prime is 32834117638681. The reversal of 32834117638668 is 86683671143823.

It is a super-2 number, since 2×32834117638668² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32834117638599 and 32834117638608.

It is not an unprimeable number, because it can be changed into a prime (32834117638667) 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, 125891605 + ... + 126152147.

It is an arithmetic number, because the mean of its divisors is an integer number (433336780800).

Almost surely, 2^{32834117638668} 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 32834117638668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41600330956800).

32834117638668 is an abundant number, since it is smaller than the sum of its proper divisors (50366544274932).

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

32834117638668 is a wasteful number, since it uses less digits than its factorization.

32834117638668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260812 (or 260810 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 66.

The spelling of 32834117638668 in words is "thirty-two trillion, eight hundred thirty-four billion, one hundred seventeen million, six hundred thirty-eight thousand, six hundred sixty-eight".