381718081472 has 224 divisors, whose sum is σ = 958242432000. Its totient is φ = 149907373056.

The previous prime is 381718081463. The next prime is 381718081499. The reversal of 381718081472 is 274180817183.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 381718081472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39662453 + ... + 39672075.

It is an arithmetic number, because the mean of its divisors is an integer number (4277868000).

Almost surely, 2^381718081472 is an apocalyptic number.

381718081472 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 381718081472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479121216000).

381718081472 is an abundant number, since it is smaller than the sum of its proper divisors (576524350528).

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

381718081472 is a wasteful number, since it uses less digits than its factorization.

381718081472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9808 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 50.

The spelling of 381718081472 in words is "three hundred eighty-one billion, seven hundred eighteen million, eighty-one thousand, four hundred seventy-two".