10583982917466 has 32 divisors (see below), whose sum is σ = 24601994196480. Its totient is φ = 2972740964016.

The previous prime is 10583982917461. The next prime is 10583982917467. The reversal of 10583982917466 is 66471928938501.

It is a super-2 number, since 2×10583982917466² (a number of 27 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 10583982917466.

It is not an unprimeable number, because it can be changed into a prime (10583982917461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2135587296 + ... + 2135592251.

It is an arithmetic number, because the mean of its divisors is an integer number (768812318640).

It is a 1-persistent number, because it is pandigital, but 2⋅10583982917466 = 21167965834932 is not.

Almost surely, 2^{10583982917466} is an apocalyptic number.

10583982917466 is an abundant number, since it is smaller than the sum of its proper divisors (14018011279014).

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

10583982917466 is a wasteful number, since it uses less digits than its factorization.

10583982917466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271179618.

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 10583982917466 in words is "ten trillion, five hundred eighty-three billion, nine hundred eighty-two million, nine hundred seventeen thousand, four hundred sixty-six".