382148124032 has 128 divisors (see below), whose sum is σ = 796651783200. Its totient is φ = 182433218560.

The previous prime is 382148124023. The next prime is 382148124053. The reversal of 382148124032 is 230421841283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72141608 + ... + 72146904.

Almost surely, 2^382148124032 is an apocalyptic number.

382148124032 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 382148124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398325891600).

382148124032 is an abundant number, since it is smaller than the sum of its proper divisors (414503659168).

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

382148124032 is a wasteful number, since it uses less digits than its factorization.

382148124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 382148124032 in words is "three hundred eighty-two billion, one hundred forty-eight million, one hundred twenty-four thousand, thirty-two".