218915519812 has 72 divisors (see below), whose sum is σ = 436999371480. Its totient is φ = 95770752000.

The previous prime is 218915519803. The next prime is 218915519839.

218915519812 is nontrivially palindromic in base 10.

218915519812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3678907716 + 215236612096 = 60654^2 + 463936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 218915519812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4424812 + ... + 4474012.

It is an arithmetic number, because the mean of its divisors is an integer number (6069435715).

Almost surely, 2^218915519812 is an apocalyptic number.

218915519812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218915519812 is a deficient number, since it is larger than the sum of its proper divisors (218083851668).

218915519812 is a wasteful number, since it uses less digits than its factorization.

218915519812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49573 (or 49560 counting only the distinct ones).

The product of its digits is 518400, while the sum is 52.

The spelling of 218915519812 in words is "two hundred eighteen billion, nine hundred fifteen million, five hundred nineteen thousand, eight hundred twelve".