1105432712832 has 384 divisors, whose sum is σ = 3687787152000. Its totient is φ = 287003049984.

The previous prime is 1105432712819. The next prime is 1105432712833. The reversal of 1105432712832 is 2382172345011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×1105432712832⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1105432712833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22503594 + ... + 22552662.

It is an arithmetic number, because the mean of its divisors is an integer number (9603612375).

Almost surely, 2^{1105432712832} is an apocalyptic number.

1105432712832 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 1105432712832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843893576000).

1105432712832 is an abundant number, since it is smaller than the sum of its proper divisors (2582354439168).

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

1105432712832 is a wasteful number, since it uses less digits than its factorization.

1105432712832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49156 (or 49127 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1105432712832 in words is "one trillion, one hundred five billion, four hundred thirty-two million, seven hundred twelve thousand, eight hundred thirty-two".