381479271677952 has 480 divisors, whose sum is σ = 1172702782884864. Its totient is φ = 108045729792000.

The previous prime is 381479271677947. The next prime is 381479271677983. The reversal of 381479271677952 is 259776172974183.

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 31 ways as a sum of consecutive naturals, for example, 47371071558 + ... + 47371079610.

Almost surely, 2^{381479271677952} is an apocalyptic number.

381479271677952 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 381479271677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586351391442432).

381479271677952 is an abundant number, since it is smaller than the sum of its proper divisors (791223511206912).

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

381479271677952 is a wasteful number, since it uses less digits than its factorization.

381479271677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9273 (or 9247 counting only the distinct ones).

The product of its digits is 2240421120, while the sum is 78.

The spelling of 381479271677952 in words is "three hundred eighty-one trillion, four hundred seventy-nine billion, two hundred seventy-one million, six hundred seventy-seven thousand, nine hundred fifty-two".