381144271872 has 1056 divisors, whose sum is σ = 1348204376064. Its totient is φ = 94755225600.

The previous prime is 381144271867. The next prime is 381144271889. The reversal of 381144271872 is 278172441183.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3700429773 + ... + 3700429875.

Almost surely, 2^381144271872 is an apocalyptic number.

381144271872 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 381144271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674102188032).

381144271872 is an abundant number, since it is smaller than the sum of its proper divisors (967060104192).

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

381144271872 is a wasteful number, since it uses less digits than its factorization.

381144271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The spelling of 381144271872 in words is "three hundred eighty-one billion, one hundred forty-four million, two hundred seventy-one thousand, eight hundred seventy-two".