18693188073216 has 144 divisors (see below), whose sum is σ = 55282370008320. Its totient is φ = 6230687984640.

The previous prime is 18693188073193. The next prime is 18693188073239. The reversal of 18693188073216 is 61237088139681.

18693188073216 is a `hidden beast` number, since 186 + 93 + 18 + 80 + 73 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (18693188073193) and next prime (18693188073239).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129894421 + ... + 130038251.

It is an arithmetic number, because the mean of its divisors is an integer number (383905347280).

Almost surely, 2^{18693188073216} is an apocalyptic number.

18693188073216 is a gapful number since it is divisible by the number (16) 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 18693188073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27641185004160).

18693188073216 is an abundant number, since it is smaller than the sum of its proper divisors (36589181935104).

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

18693188073216 is a wasteful number, since it uses less digits than its factorization.

18693188073216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162659 (or 162639 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 18693188073216 in words is "eighteen trillion, six hundred ninety-three billion, one hundred eighty-eight million, seventy-three thousand, two hundred sixteen".