20464493098896 has 960 divisors, whose sum is σ = 77212958054400. Its totient is φ = 5125534848000.

The previous prime is 20464493098877. The next prime is 20464493098901. The reversal of 20464493098896 is 69889039446402.

20464493098896 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 449 + 3 + 0 + 98 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7178003871 + ... + 7178006721.

It is an arithmetic number, because the mean of its divisors is an integer number (80430164640).

Almost surely, 2^{20464493098896} 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 20464493098896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38606479027200).

20464493098896 is an abundant number, since it is smaller than the sum of its proper divisors (56748464955504).

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

20464493098896 is a wasteful number, since it uses less digits than its factorization.

20464493098896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 20464493098896 in words is "twenty trillion, four hundred sixty-four billion, four hundred ninety-three million, ninety-eight thousand, eight hundred ninety-six".