564450497427456 has 1152 divisors, whose sum is σ = 1744292838113280. Its totient is φ = 175567498444800.

The previous prime is 564450497427449. The next prime is 564450497427497. The reversal of 564450497427456 is 654724794054465.

564450497427456 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 50 + 497 + 42 + 7 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×564450497427456² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 569576687121 + ... + 569576688111.

It is an arithmetic number, because the mean of its divisors is an integer number (1514143088640).

Almost surely, 2^{564450497427456} 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 564450497427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872146419056640).

564450497427456 is an abundant number, since it is smaller than the sum of its proper divisors (1179842340685824).

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

564450497427456 is a wasteful number, since it uses less digits than its factorization.

564450497427456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 4064256000, while the sum is 72.

The spelling of 564450497427456 in words is "five hundred sixty-four trillion, four hundred fifty billion, four hundred ninety-seven million, four hundred twenty-seven thousand, four hundred fifty-six".