381479144832 has 512 divisors, whose sum is σ = 1270658880000. Its totient is φ = 113353924608.

The previous prime is 381479144831. The next prime is 381479144863. The reversal of 381479144832 is 238441974183.

381479144832 is a `hidden beast` number, since 3 + 8 + 147 + 9 + 14 + 483 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381479144831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90417219 + ... + 90421437.

It is an arithmetic number, because the mean of its divisors is an integer number (2481755625).

Almost surely, 2^381479144832 is an apocalyptic number.

381479144832 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 381479144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635329440000).

381479144832 is an abundant number, since it is smaller than the sum of its proper divisors (889179735168).

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

381479144832 is an equidigital number, since it uses as much as digits as its factorization.

381479144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4260 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 381479144832 in words is "three hundred eighty-one billion, four hundred seventy-nine million, one hundred forty-four thousand, eight hundred thirty-two".