21264082360144 has 20 divisors (see below), whose sum is σ = 44368325694196. Its totient is φ = 9814191858432.

The previous prime is 21264082360127. The next prime is 21264082360151. The reversal of 21264082360144 is 44106328046212.

It can be written as a sum of positive squares in 2 ways, for example, as 14168358471744 + 7095723888400 = 3764088^2 + 2663780^2 .

It is a super-2 number, since 2×21264082360144² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21264082360144.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 51115582389 + ... + 51115582804.

Almost surely, 2^{21264082360144} is an apocalyptic number.

It is an amenable number.

21264082360144 is an abundant number, since it is smaller than the sum of its proper divisors (23104243334052).

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

21264082360144 is a wasteful number, since it uses less digits than its factorization.

21264082360144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102231165214 (or 102231165208 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 21264082360144 in words is "twenty-one trillion, two hundred sixty-four billion, eighty-two million, three hundred sixty thousand, one hundred forty-four".