381123491904 has 189 divisors, whose sum is σ = 1132667306797. Its totient is φ = 122522147328.

The previous prime is 381123491897. The next prime is 381123491911. The reversal of 381123491904 is 409194321183.

The square root of 381123491904 is 617352.

It is a perfect power (a square), and thus also a powerful number.

381123491904 is a `hidden beast` number, since 3 + 8 + 112 + 349 + 190 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (381123491897) and next prime (381123491911).

It can be written as a sum of positive squares in only one way, i.e., 199851914304 + 181271577600 = 447048^2 + 425760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 381123491904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 429676549 + ... + 429677435.

Almost surely, 2^381123491904 is an apocalyptic number.

381123491904 is the 617352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381123491904

381123491904 is an abundant number, since it is smaller than the sum of its proper divisors (751543814893).

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

381123491904 is an frugal number, since it uses more digits than its factorization.

381123491904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 381123491904 in words is "three hundred eighty-one billion, one hundred twenty-three million, four hundred ninety-one thousand, nine hundred four".