564663401165124 has 168 divisors, whose sum is σ = 1483039089100800. Its totient is φ = 188033749624512.

The previous prime is 564663401165117. The next prime is 564663401165161. The reversal of 564663401165124 is 421561104366465.

564663401165124 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 6 + 3 + 4 + 0 + 116 + 512 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 29877941827 + ... + 29877960725.

It is an arithmetic number, because the mean of its divisors is an integer number (8827613625600).

Almost surely, 2^{564663401165124} is an apocalyptic number.

564663401165124 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564663401165124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741519544550400).

564663401165124 is an abundant number, since it is smaller than the sum of its proper divisors (918375687935676).

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

564663401165124 is a wasteful number, since it uses less digits than its factorization.

564663401165124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28581 (or 28564 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 564663401165124 in words is "five hundred sixty-four trillion, six hundred sixty-three billion, four hundred one million, one hundred sixty-five thousand, one hundred twenty-four".