361961563068576 has 72 divisors (see below), whose sum is σ = 1029468800371284. Its totient is φ = 120637373137920.

The previous prime is 361961563068571. The next prime is 361961563068587. The reversal of 361961563068576 is 675860365169163.

361961563068576 is a `hidden beast` number, since 3 + 6 + 1 + 9 + 6 + 1 + 563 + 0 + 6 + 8 + 57 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 346725999536400 + 15235563532176 = 18620580^2 + 3903276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (361961563068571) 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 11 ways as a sum of consecutive naturals, for example, 83727571 + ... + 87944466.

Almost surely, 2^{361961563068576} is an apocalyptic number.

361961563068576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361961563068576 is an abundant number, since it is smaller than the sum of its proper divisors (667507237302708).

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

361961563068576 is a wasteful number, since it uses less digits than its factorization.

361961563068576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171679374 (or 171679363 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 361961563068576 in words is "three hundred sixty-one trillion, nine hundred sixty-one billion, five hundred sixty-three million, sixty-eight thousand, five hundred seventy-six".