20983234944 has 256 divisors, whose sum is σ = 65488896000. Its totient is φ = 5828143104.

The previous prime is 20983234939. The next prime is 20983234967. The reversal of 20983234944 is 44943238902.

It is a super-2 number, since 2×20983234944² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 20983234893 and 20983234902.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43806097 + ... + 43806575.

It is an arithmetic number, because the mean of its divisors is an integer number (255816000).

Almost surely, 2^20983234944 is an apocalyptic number.

20983234944 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 20983234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32744448000).

20983234944 is an abundant number, since it is smaller than the sum of its proper divisors (44505661056).

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

20983234944 is a wasteful number, since it uses less digits than its factorization.

20983234944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 20983234944 in words is "twenty billion, nine hundred eighty-three million, two hundred thirty-four thousand, nine hundred forty-four".