1101166332224 has 28 divisors (see below), whose sum is σ = 2497287933024. Its totient is φ = 471928427904.

The previous prime is 1101166332221. The next prime is 1101166332239. The reversal of 1101166332224 is 4222336611011.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101166332221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1228979834 + ... + 1228980729.

Almost surely, 2^{1101166332224} is an apocalyptic number.

1101166332224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1101166332224 is an abundant number, since it is smaller than the sum of its proper divisors (1396121600800).

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

1101166332224 is an equidigital number, since it uses as much as digits as its factorization.

1101166332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457960582 (or 2457960572 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1101166332224 in words is "one trillion, one hundred one billion, one hundred sixty-six million, three hundred thirty-two thousand, two hundred twenty-four".