20225973312 has 336 divisors, whose sum is σ = 66142282752. Its totient is φ = 5871697920.

The previous prime is 20225973269. The next prime is 20225973323. The reversal of 20225973312 is 21337952202.

It is a happy number.

20225973312 is a `hidden beast` number, since 2 + 0 + 22 + 597 + 33 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6980248 + ... + 6983144.

It is an arithmetic number, because the mean of its divisors is an integer number (196852032).

Almost surely, 2^20225973312 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 20225973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33071141376).

20225973312 is an abundant number, since it is smaller than the sum of its proper divisors (45916309440).

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

20225973312 is a wasteful number, since it uses less digits than its factorization.

20225973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20225973312 in words is "twenty billion, two hundred twenty-five million, nine hundred seventy-three thousand, three hundred twelve".