18882869093824 has 224 divisors, whose sum is σ = 38752235058240. Its totient is φ = 9126058917888.

The previous prime is 18882869093801. The next prime is 18882869093833. The reversal of 18882869093824 is 42839096828881.

It is a super-2 number, since 2×18882869093824² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 31842949272 + ... + 31842949864.

Almost surely, 2^{18882869093824} 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 18882869093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19376117529120).

18882869093824 is an abundant number, since it is smaller than the sum of its proper divisors (19869365964416).

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

18882869093824 is a wasteful number, since it uses less digits than its factorization.

18882869093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 76.

The spelling of 18882869093824 in words is "eighteen trillion, eight hundred eighty-two billion, eight hundred sixty-nine million, ninety-three thousand, eight hundred twenty-four".