430564161152 has 64 divisors (see below), whose sum is σ = 864552846600. Its totient is φ = 213580283904.

The previous prime is 430564161133. The next prime is 430564161233. The reversal of 430564161152 is 251161465034.

It can be written as a sum of positive squares in 4 ways, for example, as 243822638656 + 186741522496 = 493784^2 + 432136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32838374 + ... + 32851482.

Almost surely, 2^430564161152 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 430564161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432276423300).

430564161152 is an abundant number, since it is smaller than the sum of its proper divisors (433988685448).

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

430564161152 is a wasteful number, since it uses less digits than its factorization.

430564161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15133 (or 15121 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 430564161152 in words is "four hundred thirty billion, five hundred sixty-four million, one hundred sixty-one thousand, one hundred fifty-two".