4284245060064 has 144 divisors (see below), whose sum is σ = 12468582126000. Its totient is φ = 1394654865408.

The previous prime is 4284245059979. The next prime is 4284245060077. The reversal of 4284245060064 is 4600605424824.

4284245060064 is a `hidden beast` number, since 4 + 2 + 84 + 2 + 4 + 506 + 0 + 0 + 64 = 666.

4284245060064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93216162 + ... + 93262110.

It is an arithmetic number, because the mean of its divisors is an integer number (86587375875).

Almost surely, 2^{4284245060064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284245060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234291063000).

4284245060064 is an abundant number, since it is smaller than the sum of its proper divisors (8184337065936).

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

4284245060064 is a wasteful number, since it uses less digits than its factorization.

4284245060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53537 (or 53526 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 4284245060064 in words is "four trillion, two hundred eighty-four billion, two hundred forty-five million, sixty thousand, sixty-four".