20484337148352 has 672 divisors, whose sum is σ = 77099352145920. Its totient is φ = 5037704202240.

The previous prime is 20484337148323. The next prime is 20484337148377. The reversal of 20484337148352 is 25384173348402.

20484337148352 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 43 + 3 + 71 + 483 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 1738459453 + ... + 1738471235.

Almost surely, 2^{20484337148352} is an apocalyptic number.

20484337148352 is a gapful number since it is divisible by the number (22) 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 20484337148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38549676072960).

20484337148352 is an abundant number, since it is smaller than the sum of its proper divisors (56615014997568).

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

20484337148352 is a wasteful number, since it uses less digits than its factorization.

20484337148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13901 (or 13888 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 20484337148352 in words is "twenty trillion, four hundred eighty-four billion, three hundred thirty-seven million, one hundred forty-eight thousand, three hundred fifty-two".