218149759872 has 640 divisors, whose sum is σ = 770410349280. Its totient is φ = 60515942400.

The previous prime is 218149759843. The next prime is 218149759879. The reversal of 218149759872 is 278957941812.

218149759872 is a `hidden beast` number, since 2 + 18 + 1 + 497 + 59 + 87 + 2 = 666.

It is a super-2 number, since 2×218149759872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218149759879) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71734672 + ... + 71737712.

Almost surely, 2^218149759872 is an apocalyptic number.

218149759872 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 218149759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385205174640).

218149759872 is an abundant number, since it is smaller than the sum of its proper divisors (552260589408).

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

218149759872 is a wasteful number, since it uses less digits than its factorization.

218149759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3111 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 218149759872 in words is "two hundred eighteen billion, one hundred forty-nine million, seven hundred fifty-nine thousand, eight hundred seventy-two".