20814469505856 has 1344 divisors, whose sum is σ = 71987247521280. Its totient is φ = 5689772605440.

The previous prime is 20814469505821. The next prime is 20814469505903. The reversal of 20814469505856 is 65850596441802.

20814469505856 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 4 + 46 + 9 + 5 + 0 + 585 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20814469505793 and 20814469505802.

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 191 ways as a sum of consecutive naturals, for example, 22405241200 + ... + 22405242128.

It is an arithmetic number, because the mean of its divisors is an integer number (53561940120).

Almost surely, 2^{20814469505856} is an apocalyptic number.

20814469505856 is a gapful number since it is divisible by the number (26) 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 20814469505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35993623760640).

20814469505856 is an abundant number, since it is smaller than the sum of its proper divisors (51172778015424).

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

20814469505856 is a wasteful number, since it uses less digits than its factorization.

20814469505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 20814469505856 in words is "twenty trillion, eight hundred fourteen billion, four hundred sixty-nine million, five hundred five thousand, eight hundred fifty-six".