18190266864 has 480 divisors, whose sum is σ = 63012633600. Its totient is φ = 4507937280.

The previous prime is 18190266863. The next prime is 18190266901. The reversal of 18190266864 is 46866209181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18190266863) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 45819114 + ... + 45819510.

It is an arithmetic number, because the mean of its divisors is an integer number (131276320).

Almost surely, 2^18190266864 is an apocalyptic number.

18190266864 is a gapful number since it is divisible by the number (14) 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 18190266864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31506316800).

18190266864 is an abundant number, since it is smaller than the sum of its proper divisors (44822366736).

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

18190266864 is a wasteful number, since it uses less digits than its factorization.

18190266864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 18190266864 in words is "eighteen billion, one hundred ninety million, two hundred sixty-six thousand, eight hundred sixty-four".