381301341696 has 240 divisors, whose sum is σ = 1271124165168. Its totient is φ = 108748800000.

The previous prime is 381301341569. The next prime is 381301341703. The reversal of 381301341696 is 696143103183.

It is a happy number.

381301341696 is a `hidden beast` number, since 3 + 8 + 130 + 13 + 416 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640446 + ... + 1082946.

Almost surely, 2^381301341696 is an apocalyptic number.

381301341696 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 381301341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635562082584).

381301341696 is an abundant number, since it is smaller than the sum of its proper divisors (889822823472).

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

381301341696 is a wasteful number, since it uses less digits than its factorization.

381301341696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442553 (or 442534 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 381301341696 in words is "three hundred eighty-one billion, three hundred one million, three hundred forty-one thousand, six hundred ninety-six".