361999568896 has 351 divisors, whose sum is σ = 906016167189. Its totient is φ = 144168321024.

The previous prime is 361999568851. The next prime is 361999568897. The reversal of 361999568896 is 698865999163.

The square root of 361999568896 is 601664.

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

It can be written as a sum of positive squares in only one way, i.e., 281833574400 + 80165994496 = 530880^2 + 283136^2 .

It is a Harshad number since it is a multiple of its sum of digits (79).

It is not an unprimeable number, because it can be changed into a prime (361999568897) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4582272985 + ... + 4582273063.

Almost surely, 2^361999568896 is an apocalyptic number.

361999568896 is the 601664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361999568896

361999568896 is an abundant number, since it is smaller than the sum of its proper divisors (544016598293).

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

361999568896 is an frugal number, since it uses more digits than its factorization.

361999568896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 105 counting only the distinct ones).

The product of its digits is 1360488960, while the sum is 79.

The spelling of 361999568896 in words is "three hundred sixty-one billion, nine hundred ninety-nine million, five hundred sixty-eight thousand, eight hundred ninety-six".