381513766656 has 432 divisors, whose sum is σ = 1176592854528. Its totient is φ = 109446881280.

The previous prime is 381513766631. The next prime is 381513766663. The reversal of 381513766656 is 656667315183.

It is a junction number, because it is equal to n+sod(n) for n = 381513766596 and 381513766605.

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 47 ways as a sum of consecutive naturals, for example, 220145566 + ... + 220147298.

Almost surely, 2^381513766656 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 381513766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588296427264).

381513766656 is an abundant number, since it is smaller than the sum of its proper divisors (795079087872).

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

381513766656 is a wasteful number, since it uses less digits than its factorization.

381513766656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1875 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 57.

The spelling of 381513766656 in words is "three hundred eighty-one billion, five hundred thirteen million, seven hundred sixty-six thousand, six hundred fifty-six".