132661462116312 has 384 divisors, whose sum is σ = 392592575232000. Its totient is φ = 40314822543360.

The previous prime is 132661462116307. The next prime is 132661462116373. The reversal of 132661462116312 is 213611264166231.

132661462116312 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 6 + 1 + 4 + 6 + 2 + 1 + 1 + 631 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5488897764 + ... + 5488921932.

It is an arithmetic number, because the mean of its divisors is an integer number (1022376498000).

Almost surely, 2^{132661462116312} is an apocalyptic number.

132661462116312 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 132661462116312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196296287616000).

132661462116312 is an abundant number, since it is smaller than the sum of its proper divisors (259931113115688).

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

132661462116312 is a wasteful number, since it uses less digits than its factorization.

132661462116312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24951 (or 24944 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 132661462116312 in words is "one hundred thirty-two trillion, six hundred sixty-one billion, four hundred sixty-two million, one hundred sixteen thousand, three hundred twelve".