20449363968 has 432 divisors, whose sum is σ = 66526075980. Its totient is φ = 6044712960.

The previous prime is 20449363967. The next prime is 20449363969. The reversal of 20449363968 is 86936394402.

20449363968 is a `hidden beast` number, since 2 + 0 + 4 + 493 + 63 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20449363967) and next prime (20449363969).

It can be written as a sum of positive squares in 2 ways, for example, as 17986028544 + 2463335424 = 134112^2 + 49632^2 .

It is not an unprimeable number, because it can be changed into a prime (20449363967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118204330 + ... + 118204502.

Almost surely, 2^20449363968 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 20449363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33263037990).

20449363968 is an abundant number, since it is smaller than the sum of its proper divisors (46076712012).

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

20449363968 is a wasteful number, since it uses less digits than its factorization.

20449363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 20449363968 in words is "twenty billion, four hundred forty-nine million, three hundred sixty-three thousand, nine hundred sixty-eight".