564142316636016 has 80 divisors (see below), whose sum is σ = 1622393561912320. Its totient is φ = 187687883471040.

The previous prime is 564142316635967. The next prime is 564142316636111. The reversal of 564142316636016 is 610636613241465.

It is a happy number.

564142316636016 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 4 + 23 + 1 + 6 + 6 + 3 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248230080 + ... + 1248681951.

It is an arithmetic number, because the mean of its divisors is an integer number (20279919523904).

Almost surely, 2^{564142316636016} is an apocalyptic number.

It is an amenable number.

564142316636016 is an abundant number, since it is smaller than the sum of its proper divisors (1058251245276304).

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

564142316636016 is a wasteful number, since it uses less digits than its factorization.

564142316636016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496912571 (or 2496912559 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 564142316636016 in words is "five hundred sixty-four trillion, one hundred forty-two billion, three hundred sixteen million, six hundred thirty-six thousand, sixteen".