13997166282 has 80 divisors (see below), whose sum is σ = 34462058400. Its totient is φ = 4210976160.

The previous prime is 13997166269. The next prime is 13997166299. The reversal of 13997166282 is 28266179931.

13997166282 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 7 + 1 + 6 + 628 + 2 = 666.

13997166282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13997166282³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219444 + ... + 275952.

It is an arithmetic number, because the mean of its divisors is an integer number (430775730).

Almost surely, 2^13997166282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13997166282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231029200).

13997166282 is an abundant number, since it is smaller than the sum of its proper divisors (20464892118).

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

13997166282 is a wasteful number, since it uses less digits than its factorization.

13997166282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56673 (or 56664 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 13997166282 in words is "thirteen billion, nine hundred ninety-seven million, one hundred sixty-six thousand, two hundred eighty-two".