381372506195184 has 120 divisors (see below), whose sum is σ = 1261848275931360. Its totient is φ = 105206208597504.

The previous prime is 381372506195183. The next prime is 381372506195189. The reversal of 381372506195184 is 481591605273183.

381372506195184 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 7 + 2 + 5 + 0 + 619 + 5 + 1 + 8 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381372506195183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6523173187 + ... + 6523231650.

It is an arithmetic number, because the mean of its divisors is an integer number (10515402299428).

It is a 2-persistent number, because it is pandigital, and so is 2⋅381372506195184 = 762745012390368, but 3⋅381372506195184 = 1144117518585552 is not.

Almost surely, 2^{381372506195184} is an apocalyptic number.

It is an amenable number.

381372506195184 is an abundant number, since it is smaller than the sum of its proper divisors (880475769736176).

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

381372506195184 is a wasteful number, since it uses less digits than its factorization.

381372506195184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046404887 (or 13046404878 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

Subtracting from 381372506195184 its sum of digits (63), we obtain a square (381372506195121 = 19528761²).

The spelling of 381372506195184 in words is "three hundred eighty-one trillion, three hundred seventy-two billion, five hundred six million, one hundred ninety-five thousand, one hundred eighty-four".