21169672371456 has 288 divisors, whose sum is σ = 67414058127360. Its totient is φ = 5769545736192.

The previous prime is 21169672371361. The next prime is 21169672371467. The reversal of 21169672371456 is 65417327696112.

It is a self number, because there is not a number n which added to its sum of digits gives 21169672371456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12122041 + ... + 13758023.

It is an arithmetic number, because the mean of its divisors is an integer number (234076590720).

Almost surely, 2^{21169672371456} 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 21169672371456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33707029063680).

21169672371456 is an abundant number, since it is smaller than the sum of its proper divisors (46244385755904).

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

21169672371456 is a wasteful number, since it uses less digits than its factorization.

21169672371456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636121 (or 1636107 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 60.

The spelling of 21169672371456 in words is "twenty-one trillion, one hundred sixty-nine billion, six hundred seventy-two million, three hundred seventy-one thousand, four hundred fifty-six".