20468244948480 has 3200 divisors, whose sum is σ = 92403514368000. Its totient is φ = 4225286799360.

The previous prime is 20468244948457. The next prime is 20468244948497. The reversal of 20468244948480 is 8484944286402.

It is a happy number.

20468244948480 is a `hidden beast` number, since 2 + 0 + 4 + 68 + 2 + 4 + 4 + 94 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 76090129786 + ... + 76090130054.

It is an arithmetic number, because the mean of its divisors is an integer number (28876098240).

Almost surely, 2^{20468244948480} is an apocalyptic number.

20468244948480 is a gapful number since it is divisible by the number (20) 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 20468244948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46201757184000).

20468244948480 is an abundant number, since it is smaller than the sum of its proper divisors (71935269419520).

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

20468244948480 is a wasteful number, since it uses less digits than its factorization.

20468244948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 63.

The spelling of 20468244948480 in words is "twenty trillion, four hundred sixty-eight billion, two hundred forty-four million, nine hundred forty-eight thousand, four hundred eighty".