10282218662034 has 96 divisors (see below), whose sum is σ = 24424639948800. Its totient is φ = 3100304467680.

The previous prime is 10282218662033. The next prime is 10282218662099. The reversal of 10282218662034 is 43026681228201.

10282218662034 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 2 + 2 + 18 + 6 + 620 + 3 + 4 = 666.

It is a super-2 number, since 2×10282218662034² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10282218662033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59492107 + ... + 59664689.

It is an arithmetic number, because the mean of its divisors is an integer number (254423332800).

Almost surely, 2^{10282218662034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10282218662034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212319974400).

10282218662034 is an abundant number, since it is smaller than the sum of its proper divisors (14142421286766).

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

10282218662034 is a wasteful number, since it uses less digits than its factorization.

10282218662034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174100 (or 174097 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10282218662034 in words is "ten trillion, two hundred eighty-two billion, two hundred eighteen million, six hundred sixty-two thousand, thirty-four".