538121166336 has 640 divisors, whose sum is σ = 1770886656000. Its totient is φ = 160287621120.

The previous prime is 538121166263. The next prime is 538121166337. The reversal of 538121166336 is 633661121835.

538121166336 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 2 + 1 + 1 + 6 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 538121166291 and 538121166300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538121166337) by changing a digit.

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, 1466270025 + ... + 1466270391.

It is an arithmetic number, because the mean of its divisors is an integer number (2767010400).

Almost surely, 2^538121166336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538121166336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885443328000).

538121166336 is an abundant number, since it is smaller than the sum of its proper divisors (1232765489664).

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

538121166336 is a wasteful number, since it uses less digits than its factorization.

538121166336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 625 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 538121166336 in words is "five hundred thirty-eight billion, one hundred twenty-one million, one hundred sixty-six thousand, three hundred thirty-six".