381328736256 has 900 divisors, whose sum is σ = 1322849925936. Its totient is φ = 108610191360.

The previous prime is 381328736213. The next prime is 381328736263. The reversal of 381328736256 is 652637823183.

It is a happy number.

381328736256 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 2 + 8 + 7 + 3 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12300926961 + ... + 12300926991.

Almost surely, 2^381328736256 is an apocalyptic number.

381328736256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381328736256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661424962968).

381328736256 is an abundant number, since it is smaller than the sum of its proper divisors (941521189680).

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

381328736256 is an equidigital number, since it uses as much as digits as its factorization.

381328736256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 72 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 381328736256 in words is "three hundred eighty-one billion, three hundred twenty-eight million, seven hundred thirty-six thousand, two hundred fifty-six".