381372506195121 has 27 divisors (see below), whose sum is σ = 640810274326443. Its totient is φ = 217926912052080.

The previous prime is 381372506194973. The next prime is 381372506195183. The reversal of 381372506195121 is 121591605273183.

It is a happy number.

The square root of 381372506195121 is 19528761.

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

381372506195121 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 7 + 2 + 5 + 0 + 619 + 5 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124864734655521 + 256507771539600 = 11174289^2 + 16015860^2 .

It is a de Polignac number, because none of the positive numbers 2^k-381372506195121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (381372506195321) 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 26 ways as a sum of consecutive naturals, for example, 409639011 + ... + 410568951.

Almost surely, 2^{381372506195121} is an apocalyptic number.

381372506195121 is the 19528761-st square number.

381372506195121 is the 9764381-st centered octagonal number.

It is an amenable number.

381372506195121 is a deficient number, since it is larger than the sum of its proper divisors (259437768131322).

381372506195121 is an frugal number, since it uses more digits than its factorization.

381372506195121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859902 (or 929951 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 381372506195121 in words is "three hundred eighty-one trillion, three hundred seventy-two billion, five hundred six million, one hundred ninety-five thousand, one hundred twenty-one".