381229281472416 has 384 divisors, whose sum is σ = 1138372022108160. Its totient is φ = 110741337907200.

The previous prime is 381229281472409. The next prime is 381229281472463. The reversal of 381229281472416 is 614274182922183.

It is a self number, because there is not a number n which added to its sum of digits gives 381229281472416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46542454881 + ... + 46542463071.

It is an arithmetic number, because the mean of its divisors is an integer number (2964510474240).

Almost surely, 2^{381229281472416} 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 381229281472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569186011054080).

381229281472416 is an abundant number, since it is smaller than the sum of its proper divisors (757142740635744).

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

381229281472416 is a wasteful number, since it uses less digits than its factorization.

381229281472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820 (or 14812 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 381229281472416 in words is "three hundred eighty-one trillion, two hundred twenty-nine billion, two hundred eighty-one million, four hundred seventy-two thousand, four hundred sixteen".