132357465485712 has 480 divisors, whose sum is σ = 382321779840000. Its totient is φ = 42733671552000.

The previous prime is 132357465485669. The next prime is 132357465485723. The reversal of 132357465485712 is 217584564753231.

132357465485712 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 7 + 4 + 6 + 54 + 8 + 571 + 2 = 666.

132357465485712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×132357465485712³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 132357465485712.

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, 46424925087 + ... + 46424927937.

It is an arithmetic number, because the mean of its divisors is an integer number (796503708000).

Almost surely, 2^{132357465485712} is an apocalyptic number.

132357465485712 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 132357465485712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191160889920000).

132357465485712 is an abundant number, since it is smaller than the sum of its proper divisors (249964314354288).

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

132357465485712 is a wasteful number, since it uses less digits than its factorization.

132357465485712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3418 counting only the distinct ones).

The product of its digits is 169344000, while the sum is 63.

The spelling of 132357465485712 in words is "one hundred thirty-two trillion, three hundred fifty-seven billion, four hundred sixty-five million, four hundred eighty-five thousand, seven hundred twelve".