538193331648 has 168 divisors, whose sum is σ = 1780467193440. Its totient is φ = 152246937600.

The previous prime is 538193331629. The next prime is 538193331653. The reversal of 538193331648 is 846133391835.

538193331648 is a `hidden beast` number, since 538 + 1 + 9 + 33 + 31 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 538193331594 and 538193331603.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 253563 + ... + 1068026.

Almost surely, 2^538193331648 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 538193331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890233596720).

538193331648 is an abundant number, since it is smaller than the sum of its proper divisors (1242273861792).

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

538193331648 is a wasteful number, since it uses less digits than its factorization.

538193331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321715 (or 1321702 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 538193331648 in words is "five hundred thirty-eight billion, one hundred ninety-three million, three hundred thirty-one thousand, six hundred forty-eight".