210064456144 has 40 divisors (see below), whose sum is σ = 424760436360. Its totient is φ = 100512964608.

The previous prime is 210064456123. The next prime is 210064456163. The reversal of 210064456144 is 441654460012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6291662400 + 203772793744 = 79320^2 + 451412^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950777 + ... + 2055640.

It is an arithmetic number, because the mean of its divisors is an integer number (10619010909).

Almost surely, 2^210064456144 is an apocalyptic number.

It is an amenable number.

210064456144 is an abundant number, since it is smaller than the sum of its proper divisors (214695980216).

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

210064456144 is a wasteful number, since it uses less digits than its factorization.

210064456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006567 (or 4006561 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 210064456144 in words is "two hundred ten billion, sixty-four million, four hundred fifty-six thousand, one hundred forty-four".