218944698778872 has 256 divisors, whose sum is σ = 714629786112000. Its totient is φ = 61393194172800.

The previous prime is 218944698778849. The next prime is 218944698778879. The reversal of 218944698778872 is 278877896449812.

218944698778872 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 4 + 469 + 8 + 7 + 78 + 8 + 72 = 666.

It is a super-2 number, since 2×218944698778872² (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 (218944698778879) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54453204 + ... + 58335587.

It is an arithmetic number, because the mean of its divisors is an integer number (2791522602000).

Almost surely, 2^{218944698778872} is an apocalyptic number.

218944698778872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218944698778872 is an abundant number, since it is smaller than the sum of its proper divisors (495685087333128).

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

218944698778872 is a wasteful number, since it uses less digits than its factorization.

218944698778872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112788879 (or 112788869 counting only the distinct ones).

The product of its digits is 43698880512, while the sum is 90.

The spelling of 218944698778872 in words is "two hundred eighteen trillion, nine hundred forty-four billion, six hundred ninety-eight million, seven hundred seventy-eight thousand, eight hundred seventy-two".