381191695581312 has 512 divisors, whose sum is σ = 1408673626214400. Its totient is φ = 98585874800640.

The previous prime is 381191695581293. The next prime is 381191695581343. The reversal of 381191695581312 is 213185596191183.

381191695581312 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 9 + 1 + 69 + 558 + 1 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 381191695581312.

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, 58930173 + ... + 65078019.

It is an arithmetic number, because the mean of its divisors is an integer number (2751315676200).

Almost surely, 2^{381191695581312} is an apocalyptic number.

381191695581312 is a gapful number since it is divisible by the number (32) 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 381191695581312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704336813107200).

381191695581312 is an abundant number, since it is smaller than the sum of its proper divisors (1027481930633088).

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

381191695581312 is a wasteful number, since it uses less digits than its factorization.

381191695581312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148121 (or 6148103 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 63.

The spelling of 381191695581312 in words is "three hundred eighty-one trillion, one hundred ninety-one billion, six hundred ninety-five million, five hundred eighty-one thousand, three hundred twelve".