381641528174060 has 192 divisors, whose sum is σ = 1001288730968064. Its totient is φ = 118705497926400.

The previous prime is 381641528174047. The next prime is 381641528174141. The reversal of 381641528174060 is 60471825146183.

It is a junction number, because it is equal to n+sod(n) for n = 381641528173987 and 381641528174005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2898382025 + ... + 2898513695.

It is an arithmetic number, because the mean of its divisors is an integer number (5215045473792).

Almost surely, 2^{381641528174060} 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 381641528174060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500644365484032).

381641528174060 is an abundant number, since it is smaller than the sum of its proper divisors (619647202794004).

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

381641528174060 is a wasteful number, since it uses less digits than its factorization.

381641528174060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135604 (or 135602 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 381641528174060 in words is "three hundred eighty-one trillion, six hundred forty-one billion, five hundred twenty-eight million, one hundred seventy-four thousand, sixty".