382150023948 has 288 divisors, whose sum is σ = 1226034980352. Its totient is φ = 97486848000.

The previous prime is 382150023943. The next prime is 382150023949. The reversal of 382150023948 is 849320051283.

382150023948 is a `hidden beast` number, since 3 + 82 + 1 + 500 + 23 + 9 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (382150023943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39798348 + ... + 39807948.

It is an arithmetic number, because the mean of its divisors is an integer number (4257065904).

Almost surely, 2^382150023948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382150023948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613017490176).

382150023948 is an abundant number, since it is smaller than the sum of its proper divisors (843884956404).

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

382150023948 is a wasteful number, since it uses less digits than its factorization.

382150023948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9885 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 382150023948 in words is "three hundred eighty-two billion, one hundred fifty million, twenty-three thousand, nine hundred forty-eight".