1166434270736 has 80 divisors (see below), whose sum is σ = 2600396004480. Its totient is φ = 496501125120.

The previous prime is 1166434270721. The next prime is 1166434270747. The reversal of 1166434270736 is 6370724346611.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44492000 + ... + 44518208.

It is an arithmetic number, because the mean of its divisors is an integer number (32504950056).

Almost surely, 2^{1166434270736} is an apocalyptic number.

1166434270736 is a gapful number since it is divisible by the number (16) 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 1166434270736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300198002240).

1166434270736 is an abundant number, since it is smaller than the sum of its proper divisors (1433961733744).

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

1166434270736 is a wasteful number, since it uses less digits than its factorization.

1166434270736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28912 (or 28906 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 50.

The spelling of 1166434270736 in words is "one trillion, one hundred sixty-six billion, four hundred thirty-four million, two hundred seventy thousand, seven hundred thirty-six".