17948822782968 has 640 divisors, whose sum is σ = 63537326899200. Its totient is φ = 4598270726400.

The previous prime is 17948822782937. The next prime is 17948822783041. The reversal of 17948822782968 is 86928722884971.

17948822782968 is a `hidden beast` number, since 1 + 7 + 9 + 488 + 2 + 2 + 78 + 2 + 9 + 68 = 666.

It is a super-2 number, since 2×17948822782968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 5388417063 + ... + 5388420393.

It is an arithmetic number, because the mean of its divisors is an integer number (99277073280).

Almost surely, 2^{17948822782968} is an apocalyptic number.

17948822782968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17948822782968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31768663449600).

17948822782968 is an abundant number, since it is smaller than the sum of its proper divisors (45588504116232).

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

17948822782968 is a wasteful number, since it uses less digits than its factorization.

17948822782968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4800 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 81.

The spelling of 17948822782968 in words is "seventeen trillion, nine hundred forty-eight billion, eight hundred twenty-two million, seven hundred eighty-two thousand, nine hundred sixty-eight".