132385597966944 has 768 divisors, whose sum is σ = 467441462476800. Its totient is φ = 35649472204800.

The previous prime is 132385597966907. The next prime is 132385597966969. The reversal of 132385597966944 is 449669795583231.

132385597966944 is a `hidden beast` number, since 1 + 3 + 2 + 385 + 5 + 97 + 9 + 66 + 94 + 4 = 666.

It is a super-2 number, since 2×132385597966944² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 4512259027 + ... + 4512288365.

It is an arithmetic number, because the mean of its divisors is an integer number (608647737600).

Almost surely, 2^{132385597966944} is an apocalyptic number.

132385597966944 is a gapful number since it is divisible by the number (14) 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 132385597966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233720731238400).

132385597966944 is an abundant number, since it is smaller than the sum of its proper divisors (335055864509856).

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

132385597966944 is a wasteful number, since it uses less digits than its factorization.

132385597966944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30024 (or 30010 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

The spelling of 132385597966944 in words is "one hundred thirty-two trillion, three hundred eighty-five billion, five hundred ninety-seven million, nine hundred sixty-six thousand, nine hundred forty-four".