218149452427680 has 576 divisors, whose sum is σ = 795722230517760. Its totient is φ = 54231889969152.

The previous prime is 218149452427667. The next prime is 218149452427733. The reversal of 218149452427680 is 86724254941812.

218149452427680 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 4 + 9 + 4 + 524 + 27 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1924389562 + ... + 1924502918.

It is an arithmetic number, because the mean of its divisors is an integer number (1381462205760).

Almost surely, 2^{218149452427680} is an apocalyptic number.

218149452427680 is a gapful number since it is divisible by the number (20) 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 218149452427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397861115258880).

218149452427680 is an abundant number, since it is smaller than the sum of its proper divisors (577572778090080).

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

218149452427680 is a wasteful number, since it uses less digits than its factorization.

218149452427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114141 (or 114130 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 218149452427680 in words is "two hundred eighteen trillion, one hundred forty-nine billion, four hundred fifty-two million, four hundred twenty-seven thousand, six hundred eighty".