132208666482816 has 1536 divisors, whose sum is σ = 488886683351040. Its totient is φ = 33583212748800.

The previous prime is 132208666482791. The next prime is 132208666482817. The reversal of 132208666482816 is 618284666802231.

It is a super-3 number, since 3×132208666482816³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (132208666482817) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112902361911 + ... + 112902363081.

It is an arithmetic number, because the mean of its divisors is an integer number (318285601140).

Almost surely, 2^{132208666482816} is an apocalyptic number.

132208666482816 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 132208666482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244443341675520).

132208666482816 is an abundant number, since it is smaller than the sum of its proper divisors (356678016868224).

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

132208666482816 is a wasteful number, since it uses less digits than its factorization.

132208666482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 132208666482816 in words is "one hundred thirty-two trillion, two hundred eight billion, six hundred sixty-six million, four hundred eighty-two thousand, eight hundred sixteen".