383912482996224 has 5760 divisors, whose sum is σ = 1649083486632120. Its totient is φ = 87840100712448.

The previous prime is 383912482996223. The next prime is 383912482996247. The reversal of 383912482996224 is 422699284219383.

383912482996224 is a `hidden beast` number, since 3 + 8 + 3 + 91 + 24 + 8 + 299 + 6 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366799104000000 + 17113378996224 = 19152000^2 + 4136832^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (383912482996223) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 10376013053934 + ... + 10376013053970.

Almost surely, 2^{383912482996224} is an apocalyptic number.

383912482996224 is a gapful number since it is divisible by the number (34) 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 383912482996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824541743316060).

383912482996224 is an abundant number, since it is smaller than the sum of its proper divisors (1265171003635896).

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

383912482996224 is a wasteful number, since it uses less digits than its factorization.

383912482996224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 98 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 383912482996224 in words is "three hundred eighty-three trillion, nine hundred twelve billion, four hundred eighty-two million, nine hundred ninety-six thousand, two hundred twenty-four".