564429901032 has 96 divisors (see below), whose sum is σ = 1575001963080. Its totient is φ = 182493265920.

The previous prime is 564429901031. The next prime is 564429901051. The reversal of 564429901032 is 230109924465.

564429901032 is a `hidden beast` number, since 564 + 42 + 9 + 9 + 0 + 10 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 377126179236 + 187303721796 = 614106^2 + 432786^2 .

It is a super-2 number, since 2×564429901032² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (564429901031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41913 + ... + 1063304.

Almost surely, 2^564429901032 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 564429901032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787500981540).

564429901032 is an abundant number, since it is smaller than the sum of its proper divisors (1010572062048).

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

564429901032 is a wasteful number, since it uses less digits than its factorization.

564429901032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105443 (or 1105436 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 564429901032 in words is "five hundred sixty-four billion, four hundred twenty-nine million, nine hundred one thousand, thirty-two".