32006118144 has 1152 divisors, whose sum is σ = 126588026880. Its totient is φ = 6900940800.

The previous prime is 32006118101. The next prime is 32006118197. The reversal of 32006118144 is 44181160023.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 405140697 + ... + 405140775.

It is an arithmetic number, because the mean of its divisors is an integer number (109885440).

Almost surely, 2^32006118144 is an apocalyptic number.

32006118144 is a gapful number since it is divisible by the number (34) 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 32006118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63294013440).

32006118144 is an abundant number, since it is smaller than the sum of its proper divisors (94581908736).

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

32006118144 is a wasteful number, since it uses less digits than its factorization.

32006118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 32006118144 its reverse (44181160023), we get a palindrome (76187278167).

The spelling of 32006118144 in words is "thirty-two billion, six million, one hundred eighteen thousand, one hundred forty-four".