20822160505464 has 160 divisors (see below), whose sum is σ = 60272515527840. Its totient is φ = 6711509145600.

The previous prime is 20822160505457. The next prime is 20822160505483. The reversal of 20822160505464 is 46450506122802.

20822160505464 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 21 + 60 + 505 + 4 + 64 = 666.

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 39 ways as a sum of consecutive naturals, for example, 465652 + ... + 6470019.

It is an arithmetic number, because the mean of its divisors is an integer number (376703222049).

Almost surely, 2^{20822160505464} is an apocalyptic number.

20822160505464 is a gapful number since it is divisible by the number (24) 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 20822160505464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30136257763920).

20822160505464 is an abundant number, since it is smaller than the sum of its proper divisors (39450355022376).

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

20822160505464 is a wasteful number, since it uses less digits than its factorization.

20822160505464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935843 (or 6935830 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 20822160505464 in words is "twenty trillion, eight hundred twenty-two billion, one hundred sixty million, five hundred five thousand, four hundred sixty-four".