18142568820 has 288 divisors, whose sum is σ = 58717032192. Its totient is φ = 4524816384.

The previous prime is 18142568813. The next prime is 18142568837. The reversal of 18142568820 is 2886524181.

18142568820 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 2 + 568 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52283887 + ... + 52284233.

It is an arithmetic number, because the mean of its divisors is an integer number (203878584).

Almost surely, 2^18142568820 is an apocalyptic number.

18142568820 is a gapful number since it is divisible by the number (10) 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 18142568820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29358516096).

18142568820 is an abundant number, since it is smaller than the sum of its proper divisors (40574463372).

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

18142568820 is a wasteful number, since it uses less digits than its factorization.

18142568820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 18142568820 in words is "eighteen billion, one hundred forty-two million, five hundred sixty-eight thousand, eight hundred twenty".