116224666632 has 192 divisors, whose sum is σ = 342200738880. Its totient is φ = 35493728256.

The previous prime is 116224666631. The next prime is 116224666673. The reversal of 116224666632 is 236666422611.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116224666631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16154428 + ... + 16161620.

It is an arithmetic number, because the mean of its divisors is an integer number (1782295515).

Almost surely, 2^116224666632 is an apocalyptic number.

116224666632 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 116224666632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171100369440).

116224666632 is an abundant number, since it is smaller than the sum of its proper divisors (225976072248).

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

116224666632 is a wasteful number, since it uses less digits than its factorization.

116224666632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7565 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 116224666632 in words is "one hundred sixteen billion, two hundred twenty-four million, six hundred sixty-six thousand, six hundred thirty-two".