538445300649984 has 832 divisors, whose sum is σ = 1967338190254080. Its totient is φ = 141717030174720.

The previous prime is 538445300649959. The next prime is 538445300649989. The reversal of 538445300649984 is 489946003544835.

538445300649984 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 4 + 53 + 0 + 0 + 6 + 499 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538445300649989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4941306669 + ... + 4941415635.

Almost surely, 2^{538445300649984} is an apocalyptic number.

538445300649984 is a gapful number since it is divisible by the number (54) 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 538445300649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983669095127040).

538445300649984 is an abundant number, since it is smaller than the sum of its proper divisors (1428892889604096).

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

538445300649984 is a wasteful number, since it uses less digits than its factorization.

538445300649984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109511 (or 109483 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 72.

The spelling of 538445300649984 in words is "five hundred thirty-eight trillion, four hundred forty-five billion, three hundred million, six hundred forty-nine thousand, nine hundred eighty-four".