381025596768 has 96 divisors (see below), whose sum is σ = 1010593584000. Its totient is φ = 125691181056.

The previous prime is 381025596733. The next prime is 381025596769. The reversal of 381025596768 is 867695520183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381025596769) 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 15 ways as a sum of consecutive naturals, for example, 7122183 + ... + 7175481.

It is an arithmetic number, because the mean of its divisors is an integer number (10527016500).

Almost surely, 2^381025596768 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 381025596768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505296792000).

381025596768 is an abundant number, since it is smaller than the sum of its proper divisors (629567987232).

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

381025596768 is a wasteful number, since it uses less digits than its factorization.

381025596768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54084 (or 54076 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 381025596768 in words is "three hundred eighty-one billion, twenty-five million, five hundred ninety-six thousand, seven hundred sixty-eight".