538056945216 has 252 divisors, whose sum is σ = 1860486355728. Its totient is φ = 153730338048.

The previous prime is 538056945203. The next prime is 538056945241. The reversal of 538056945216 is 612549650835.

538056945216 is a `hidden beast` number, since 5 + 38 + 0 + 569 + 45 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409015 + ... + 1115081.

It is an arithmetic number, because the mean of its divisors is an integer number (7382882364).

Almost surely, 2^538056945216 is an apocalyptic number.

538056945216 is a gapful number since it is divisible by the number (56) 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 538056945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930243177864).

538056945216 is an abundant number, since it is smaller than the sum of its proper divisors (1322429410512).

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

538056945216 is an equidigital number, since it uses as much as digits as its factorization.

538056945216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706108 (or 706079 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 538056945216 in words is "five hundred thirty-eight billion, fifty-six million, nine hundred forty-five thousand, two hundred sixteen".