382105479456 has 36 divisors (see below), whose sum is σ = 1086612458022. Its totient is φ = 127368493056.

The previous prime is 382105479439. The next prime is 382105479499. The reversal of 382105479456 is 654974501283.

It is a happy number.

382105479456 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 0 + 547 + 94 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 325680227856 + 56425251600 = 570684^2 + 237540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 663377281 + ... + 663377856.

It is a 1-persistent number, because it is pandigital, but 2⋅382105479456 = 764210958912 is not.

Almost surely, 2^382105479456 is an apocalyptic number.

382105479456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

382105479456 is an abundant number, since it is smaller than the sum of its proper divisors (704506978566).

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

382105479456 is a wasteful number, since it uses less digits than its factorization.

382105479456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326755153 (or 1326755142 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 382105479456 in words is "three hundred eighty-two billion, one hundred five million, four hundred seventy-nine thousand, four hundred fifty-six".