132218169915456 has 315 divisors, whose sum is σ = 405990871377949. Its totient is φ = 42545247155712.

The previous prime is 132218169915383. The next prime is 132218169915457. The reversal of 132218169915456 is 654519961812231.

The square root of 132218169915456 is 11498616.

It is a perfect power (a square), and thus also a powerful number.

132218169915456 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 8 + 169 + 9 + 15 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69332001109056 + 62886168806400 = 8326584^2 + 7930080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132218169915393 and 132218169915402.

It is not an unprimeable number, because it can be changed into a prime (132218169915457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24009107455 + ... + 24009112961.

Almost surely, 2^{132218169915456} is an apocalyptic number.

132218169915456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132218169915456 is the 11498616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132218169915456

132218169915456 is an abundant number, since it is smaller than the sum of its proper divisors (273772701462493).

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

132218169915456 is an frugal number, since it uses more digits than its factorization.

132218169915456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11096 (or 5541 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The spelling of 132218169915456 in words is "one hundred thirty-two trillion, two hundred eighteen billion, one hundred sixty-nine million, nine hundred fifteen thousand, four hundred fifty-six".