381853142001 has 24 divisors (see below), whose sum is σ = 572028955680. Its totient is φ = 254553207552.

The previous prime is 381853141997. The next prime is 381853142017. The reversal of 381853142001 is 100241358183.

381853142001 is a `hidden beast` number, since 3 + 81 + 8 + 531 + 42 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 381853142001 - 2² = 381853141997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (381853142081) by changing a digit.

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, 5048206 + ... + 5123288.

It is an arithmetic number, because the mean of its divisors is an integer number (23834539820).

Almost surely, 2^381853142001 is an apocalyptic number.

It is an amenable number.

381853142001 is a deficient number, since it is larger than the sum of its proper divisors (190175813679).

381853142001 is an equidigital number, since it uses as much as digits as its factorization.

381853142001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96027 (or 96015 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 381853142001 in words is "three hundred eighty-one billion, eight hundred fifty-three million, one hundred forty-two thousand, one".