1166224064416 has 96 divisors (see below), whose sum is σ = 2371417171200. Its totient is φ = 564213688320.

The previous prime is 1166224064353. The next prime is 1166224064429. The reversal of 1166224064416 is 6144604226611.

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, 79010445 + ... + 79025203.

It is an arithmetic number, because the mean of its divisors is an integer number (24702262200).

Almost surely, 2^{1166224064416} is an apocalyptic number.

1166224064416 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 1166224064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185708585600).

1166224064416 is an abundant number, since it is smaller than the sum of its proper divisors (1205193106784).

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

1166224064416 is a wasteful number, since it uses less digits than its factorization.

1166224064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15302 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 1166224064416 in words is "one trillion, one hundred sixty-six billion, two hundred twenty-four million, sixty-four thousand, four hundred sixteen".