20450954304 has 448 divisors, whose sum is σ = 73122739200. Its totient is φ = 5524070400.

The previous prime is 20450954297. The next prime is 20450954353. The reversal of 20450954304 is 40345905402.

It is a happy number.

It is a super-2 number, since 2×20450954304² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6137919 + ... + 6141249.

It is an arithmetic number, because the mean of its divisors is an integer number (163220400).

Almost surely, 2^20450954304 is an apocalyptic number.

20450954304 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 20450954304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36561369600).

20450954304 is an abundant number, since it is smaller than the sum of its proper divisors (52671784896).

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

20450954304 is a wasteful number, since it uses less digits than its factorization.

20450954304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20450954304 in words is "twenty billion, four hundred fifty million, nine hundred fifty-four thousand, three hundred four".