381302262313984 has 176 divisors, whose sum is σ = 860852434780800. Its totient is φ = 167215625830400.

The previous prime is 381302262313969. The next prime is 381302262313997. The reversal of 381302262313984 is 489313262203183.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430416774 + ... + 431301754.

It is an arithmetic number, because the mean of its divisors is an integer number (4891207015800).

Almost surely, 2^{381302262313984} 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 381302262313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430426217390400).

381302262313984 is an abundant number, since it is smaller than the sum of its proper divisors (479550172466816).

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

381302262313984 is a wasteful number, since it uses less digits than its factorization.

381302262313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886360 (or 886342 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 55.

The spelling of 381302262313984 in words is "three hundred eighty-one trillion, three hundred two billion, two hundred sixty-two million, three hundred thirteen thousand, nine hundred eighty-four".