218756657812 has 108 divisors (see below), whose sum is σ = 503144145504. Its totient is φ = 82290223680.

The previous prime is 218756657807. The next prime is 218756657837.

218756657812 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1752873 + ... + 1873519.

It is an arithmetic number, because the mean of its divisors is an integer number (4658742088).

Almost surely, 2^218756657812 is an apocalyptic number.

218756657812 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 218756657812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251572072752).

218756657812 is an abundant number, since it is smaller than the sum of its proper divisors (284387487692).

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

218756657812 is a wasteful number, since it uses less digits than its factorization.

218756657812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120734 (or 120696 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 58.

The spelling of 218756657812 in words is "two hundred eighteen billion, seven hundred fifty-six million, six hundred fifty-seven thousand, eight hundred twelve".