564146016 has 72 divisors (see below), whose sum is σ = 1722674520. Its totient is φ = 161183232.

The previous prime is 564145973. The next prime is 564146017. The reversal of 564146016 is 610641465.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564146017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55261 + ... + 64668.

It is an arithmetic number, because the mean of its divisors is an integer number (23926035).

Almost surely, 2^564146016 is an apocalyptic number.

564146016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

564146016 is an abundant number, since it is smaller than the sum of its proper divisors (1158528504).

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

564146016 is a wasteful number, since it uses less digits than its factorization.

564146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119956 (or 119941 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 564146016 is about 23751.7581665021. The cubic root of 564146016 is about 826.2862170042.

The spelling of 564146016 in words is "five hundred sixty-four million, one hundred forty-six thousand, sixteen".