564453853641216 has 6400 divisors, whose sum is σ = 2453142188851200. Its totient is φ = 124608695500800.

The previous prime is 564453853641193. The next prime is 564453853641263. The reversal of 564453853641216 is 612146358354465.

It is a happy number.

564453853641216 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 5 + 38 + 536 + 41 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4060819090875 + ... + 4060819091013.

It is an arithmetic number, because the mean of its divisors is an integer number (383303467008).

Almost surely, 2^{564453853641216} is an apocalyptic number.

564453853641216 is a gapful number since it is divisible by the number (56) 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 564453853641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226571094425600).

564453853641216 is an abundant number, since it is smaller than the sum of its proper divisors (1888688335209984).

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

564453853641216 is a wasteful number, since it uses less digits than its factorization.

564453853641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 63.

The spelling of 564453853641216 in words is "five hundred sixty-four trillion, four hundred fifty-three billion, eight hundred fifty-three million, six hundred forty-one thousand, two hundred sixteen".