215462264512 has 168 divisors, whose sum is σ = 491286491136. Its totient is φ = 93508800000.

The previous prime is 215462264449. The next prime is 215462264533.

215462264512 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 187195137 + ... + 187196287.

It is an arithmetic number, because the mean of its divisors is an integer number (2924324352).

Almost surely, 2^215462264512 is an apocalyptic number.

215462264512 is a gapful number since it is divisible by the number (22) 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 215462264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245643245568).

215462264512 is an abundant number, since it is smaller than the sum of its proper divisors (275824226624).

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

215462264512 is a wasteful number, since it uses less digits than its factorization.

215462264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2238 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 215462 and 264512, that added together give a palindrome (479974).

The spelling of 215462264512 in words is "two hundred fifteen billion, four hundred sixty-two million, two hundred sixty-four thousand, five hundred twelve".