564450406634001 has 16 divisors (see below), whose sum is σ = 753178224833280. Its totient is φ = 376011464037120.

The previous prime is 564450406633963. The next prime is 564450406634029. The reversal of 564450406634001 is 100436604054465.

It is not a de Polignac number, because 564450406634001 - 2³⁴ = 564433226764817 is a prime.

It is a super-2 number, since 2×564450406634001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564450406634201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61727065 + ... + 70278953.

It is an arithmetic number, because the mean of its divisors is an integer number (47073639052080).

Almost surely, 2^{564450406634001} is an apocalyptic number.

It is an amenable number.

564450406634001 is a deficient number, since it is larger than the sum of its proper divisors (188727818199279).

564450406634001 is a wasteful number, since it uses less digits than its factorization.

564450406634001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568776.

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 564450406634001 in words is "five hundred sixty-four trillion, four hundred fifty billion, four hundred six million, six hundred thirty-four thousand, one".