381853307352 has 256 divisors, whose sum is σ = 1138925214720. Its totient is φ = 105383116800.

The previous prime is 381853307321. The next prime is 381853307413. The reversal of 381853307352 is 253703358183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17353077 + ... + 17375067.

It is an arithmetic number, because the mean of its divisors is an integer number (4448926620).

Almost surely, 2^381853307352 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 381853307352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569462607360).

381853307352 is an abundant number, since it is smaller than the sum of its proper divisors (757071907368).

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

381853307352 is a wasteful number, since it uses less digits than its factorization.

381853307352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22154 (or 22150 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 381853307352 in words is "three hundred eighty-one billion, eight hundred fifty-three million, three hundred seven thousand, three hundred fifty-two".