20484594434304 has 1728 divisors, whose sum is σ = 82578490595328. Its totient is φ = 4891041792000.

The previous prime is 20484594434303. The next prime is 20484594434431. The reversal of 20484594434304 is 40343449548402.

20484594434304 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 4 + 594 + 4 + 3 + 43 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20484594434303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19490574579 + ... + 19490575629.

Almost surely, 2^{20484594434304} is an apocalyptic number.

20484594434304 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 20484594434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41289245297664).

20484594434304 is an abundant number, since it is smaller than the sum of its proper divisors (62093896161024).

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

20484594434304 is a wasteful number, since it uses less digits than its factorization.

20484594434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 20484594434304 in words is "twenty trillion, four hundred eighty-four billion, five hundred ninety-four million, four hundred thirty-four thousand, three hundred four".