381316829184 has 156 divisors (see below), whose sum is σ = 1116543681916. Its totient is φ = 125363552256.

The previous prime is 381316829149. The next prime is 381316829197. The reversal of 381316829184 is 481928613183.

381316829184 is a `hidden beast` number, since 38 + 1 + 316 + 8 + 291 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212336640000 + 168980189184 = 460800^2 + 411072^2 .

It is a super-3 number, since 3×381316829184³ (a number of 36 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 381316829184.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2620224 + ... + 2761920.

Almost surely, 2^381316829184 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 381316829184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558271840958).

381316829184 is an abundant number, since it is smaller than the sum of its proper divisors (735226852732).

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

381316829184 is a wasteful number, since it uses less digits than its factorization.

381316829184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141800 (or 141775 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 381316829184 in words is "three hundred eighty-one billion, three hundred sixteen million, eight hundred twenty-nine thousand, one hundred eighty-four".