381423868565776 has 135 divisors (see below), whose sum is σ = 800276141744751. Its totient is φ = 176074415741952.

The previous prime is 381423868565749. The next prime is 381423868565813. The reversal of 381423868565776 is 677565868324183.

It is a happy number.

The square root of 381423868565776 is 19530076.

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

It can be written as a sum of positive squares in 4 ways, for example, as 95567751567376 + 285856116998400 = 9775876^2 + 16907280^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 381423868565696 and 381423868565705.

It is an unprimeable number.

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, 70386391195 + ... + 70386396613.

Almost surely, 2^{381423868565776} is an apocalyptic number.

381423868565776 is the 19530076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381423868565776

381423868565776 is an abundant number, since it is smaller than the sum of its proper divisors (418852273178975).

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

381423868565776 is an frugal number, since it uses more digits than its factorization.

381423868565776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 5491 counting only the distinct ones).

The product of its digits is 9754214400, while the sum is 79.

The spelling of 381423868565776 in words is "three hundred eighty-one trillion, four hundred twenty-three billion, eight hundred sixty-eight million, five hundred sixty-five thousand, seven hundred seventy-six".