20334434399488 has 288 divisors, whose sum is σ = 47191620833280. Its totient is φ = 8654156881920.

The previous prime is 20334434399399. The next prime is 20334434399491. The reversal of 20334434399488 is 88499343443302.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 585938745 + ... + 585973447.

It is an arithmetic number, because the mean of its divisors is an integer number (163859794560).

Almost surely, 2^{20334434399488} 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 20334434399488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595810416640).

20334434399488 is an abundant number, since it is smaller than the sum of its proper divisors (26857186433792).

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

20334434399488 is a wasteful number, since it uses less digits than its factorization.

20334434399488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34945 (or 34931 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 64.

The spelling of 20334434399488 in words is "twenty trillion, three hundred thirty-four billion, four hundred thirty-four million, three hundred ninety-nine thousand, four hundred eighty-eight".