10218193389888 has 448 divisors, whose sum is σ = 31022500303872. Its totient is φ = 2940931768320.

The previous prime is 10218193389871. The next prime is 10218193389893. The reversal of 10218193389888 is 88898339181201.

It is a super-2 number, since 2×10218193389888² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543887631 + ... + 543906417.

It is an arithmetic number, because the mean of its divisors is an integer number (69246652464).

Almost surely, 2^{10218193389888} 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 10218193389888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15511250151936).

10218193389888 is an abundant number, since it is smaller than the sum of its proper divisors (20804306913984).

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

10218193389888 is a wasteful number, since it uses less digits than its factorization.

10218193389888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19022 (or 19012 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 69.

The spelling of 10218193389888 in words is "ten trillion, two hundred eighteen billion, one hundred ninety-three million, three hundred eighty-nine thousand, eight hundred eighty-eight".