21151892742318 has 96 divisors (see below), whose sum is σ = 50216508250272. Its totient is φ = 6394817721600.

The previous prime is 21151892742191. The next prime is 21151892742341. The reversal of 21151892742318 is 81324729815112.

21151892742318 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 189 + 27 + 423 + 18 = 666.

It is a super-3 number, since 3×21151892742318³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12735088 + ... + 14299868.

It is an arithmetic number, because the mean of its divisors is an integer number (523088627607).

Almost surely, 2^{21151892742318} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21151892742318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25108254125136).

21151892742318 is an abundant number, since it is smaller than the sum of its proper divisors (29064615507954).

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

21151892742318 is a wasteful number, since it uses less digits than its factorization.

21151892742318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565810 (or 1565807 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 21151892742318 in words is "twenty-one trillion, one hundred fifty-one billion, eight hundred ninety-two million, seven hundred forty-two thousand, three hundred eighteen".