362808656896 has 99 divisors (see below), whose sum is σ = 843987162069. Its totient is φ = 155431600128.

The previous prime is 362808656879. The next prime is 362808656897. The reversal of 362808656896 is 698656808263.

The square root of 362808656896 is 602336.

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., 13102007296 + 349706649600 = 114464^2 + 591360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (362808656897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134921920 + ... + 134924608.

Almost surely, 2^362808656896 is an apocalyptic number.

362808656896 is the 602336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362808656896

362808656896 is an abundant number, since it is smaller than the sum of its proper divisors (481178505173).

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

362808656896 is an frugal number, since it uses more digits than its factorization.

362808656896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 67.

The spelling of 362808656896 in words is "three hundred sixty-two billion, eight hundred eight million, six hundred fifty-six thousand, eight hundred ninety-six".