564778388137152 has 336 divisors, whose sum is σ = 1811453822246400. Its totient is φ = 152104116916224.

The previous prime is 564778388137151. The next prime is 564778388137157. The reversal of 564778388137152 is 251731883877465.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×564778388137152² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564778388137151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93626868 + ... + 99476364.

Almost surely, 2^{564778388137152} 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 564778388137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905726911123200).

564778388137152 is an abundant number, since it is smaller than the sum of its proper divisors (1246675434109248).

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

564778388137152 is a wasteful number, since it uses less digits than its factorization.

564778388137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849756 (or 5849727 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 75.

The spelling of 564778388137152 in words is "five hundred sixty-four trillion, seven hundred seventy-eight billion, three hundred eighty-eight million, one hundred thirty-seven thousand, one hundred fifty-two".