20636479144064 has 128 divisors (see below), whose sum is σ = 47313314611200. Its totient is φ = 8782467462144.

The previous prime is 20636479143947. The next prime is 20636479144067. The reversal of 20636479144064 is 46044197463602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (20636479144067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173299457 + ... + 173418495.

It is an arithmetic number, because the mean of its divisors is an integer number (369635270400).

Almost surely, 2^{20636479144064} 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 20636479144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23656657305600).

20636479144064 is an abundant number, since it is smaller than the sum of its proper divisors (26676835467136).

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

20636479144064 is a wasteful number, since it uses less digits than its factorization.

20636479144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120410 (or 120398 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 56.

The spelling of 20636479144064 in words is "twenty trillion, six hundred thirty-six billion, four hundred seventy-nine million, one hundred forty-four thousand, sixty-four".