538452376128 has 336 divisors, whose sum is σ = 1704362010624. Its totient is φ = 161782824960.

The previous prime is 538452376109. The next prime is 538452376141. The reversal of 538452376128 is 821673254835.

538452376128 is a `hidden beast` number, since 5 + 38 + 4 + 523 + 7 + 61 + 28 = 666.

It is a super-2 number, since 2×538452376128² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 29435401 + ... + 29453687.

It is an arithmetic number, because the mean of its divisors is an integer number (5072505984).

Almost surely, 2^538452376128 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 538452376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852181005312).

538452376128 is an abundant number, since it is smaller than the sum of its proper divisors (1165909634496).

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

538452376128 is a wasteful number, since it uses less digits than its factorization.

538452376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18450 (or 18437 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 538452376128 in words is "five hundred thirty-eight billion, four hundred fifty-two million, three hundred seventy-six thousand, one hundred twenty-eight".