64446222264400 has 30 divisors (see below), whose sum is σ = 154832048991182. Its totient is φ = 25778488905600.

The previous prime is 64446222264349. The next prime is 64446222264409. The reversal of 64446222264400 is 446222264446.

It can be written as a sum of positive squares in 3 ways, for example, as 3952796090896 + 60493426173504 = 1988164^2 + 7777752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64446222264409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80557777431 + ... + 80557778230.

Almost surely, 2^{64446222264400} is an apocalyptic number.

It is an amenable number.

64446222264400 is an abundant number, since it is smaller than the sum of its proper divisors (90385826726782).

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

64446222264400 is a wasteful number, since it uses less digits than its factorization.

64446222264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161115555679 (or 161115555668 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 46.

Adding to 64446222264400 its sum of digits (46), we get a palindrome (64446222264446).

The spelling of 64446222264400 in words is "sixty-four trillion, four hundred forty-six billion, two hundred twenty-two million, two hundred sixty-four thousand, four hundred".