132427110106368 has 864 divisors, whose sum is σ = 482532554649600. Its totient is φ = 33928044134400.

The previous prime is 132427110106367. The next prime is 132427110106381. The reversal of 132427110106368 is 863601011724231.

132427110106368 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 7 + 1 + 1 + 0 + 1 + 0 + 636 + 8 = 666.

It is a super-2 number, since 2×132427110106368² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132427110106367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16411832638 + ... + 16411840706.

Almost surely, 2^{132427110106368} is an apocalyptic number.

132427110106368 is a gapful number since it is divisible by the number (18) 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 132427110106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241266277324800).

132427110106368 is an abundant number, since it is smaller than the sum of its proper divisors (350105444543232).

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

132427110106368 is a wasteful number, since it uses less digits than its factorization.

132427110106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 132427110106368 in words is "one hundred thirty-two trillion, four hundred twenty-seven billion, one hundred ten million, one hundred six thousand, three hundred sixty-eight".