10643104242432 has 360 divisors, whose sum is σ = 32559230143440. Its totient is φ = 3455915950080.

The previous prime is 10643104242409. The next prime is 10643104242457. The reversal of 10643104242432 is 23424240134601.

10643104242432 is a `hidden beast` number, since 1 + 0 + 64 + 310 + 4 + 242 + 43 + 2 = 666.

It is a super-2 number, since 2×10643104242432² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 580661044 + ... + 580679372.

It is an arithmetic number, because the mean of its divisors is an integer number (90442305954).

Almost surely, 2^{10643104242432} is an apocalyptic number.

10643104242432 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 10643104242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279615071720).

10643104242432 is an abundant number, since it is smaller than the sum of its proper divisors (21916125901008).

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

10643104242432 is an equidigital number, since it uses as much as digits as its factorization.

10643104242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19081 (or 19058 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 10643104242432 in words is "ten trillion, six hundred forty-three billion, one hundred four million, two hundred forty-two thousand, four hundred thirty-two".