10306664564532 has 192 divisors, whose sum is σ = 28052024985600. Its totient is φ = 2884491523584.

The previous prime is 10306664564489. The next prime is 10306664564587. The reversal of 10306664564532 is 23546546660301.

10306664564532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 728430594 + ... + 728444742.

It is an arithmetic number, because the mean of its divisors is an integer number (146104296800).

Almost surely, 2^{10306664564532} is an apocalyptic number.

10306664564532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10306664564532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026012492800).

10306664564532 is an abundant number, since it is smaller than the sum of its proper divisors (17745360421068).

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

10306664564532 is a wasteful number, since it uses less digits than its factorization.

10306664564532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14950 (or 14948 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 10306664564532 in words is "ten trillion, three hundred six billion, six hundred sixty-four million, five hundred sixty-four thousand, five hundred thirty-two".