20484382464 has 576 divisors, whose sum is σ = 77194521600. Its totient is φ = 5211537408.

The previous prime is 20484382453. The next prime is 20484382481. The reversal of 20484382464 is 46428348402.

20484382464 is a `hidden beast` number, since 204 + 8 + 4 + 382 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×20484382464² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 18240207 + ... + 18241329.

Almost surely, 2^20484382464 is an apocalyptic number.

20484382464 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 20484382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38597260800).

20484382464 is an abundant number, since it is smaller than the sum of its proper divisors (56710139136).

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

20484382464 is a wasteful number, since it uses less digits than its factorization.

20484382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 20484382464 in words is "twenty billion, four hundred eighty-four million, three hundred eighty-two thousand, four hundred sixty-four".