218409500252160 has 1440 divisors, whose sum is σ = 932877458472960. Its totient is φ = 48704185958400.

The previous prime is 218409500252149. The next prime is 218409500252173. The reversal of 218409500252160 is 61252005904812.

218409500252160 is a `hidden beast` number, since 2 + 1 + 8 + 40 + 9 + 500 + 25 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1666279425 + ... + 1666410495.

It is an arithmetic number, because the mean of its divisors is an integer number (647831568384).

Almost surely, 2^{218409500252160} is an apocalyptic number.

218409500252160 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 218409500252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466438729236480).

218409500252160 is an abundant number, since it is smaller than the sum of its proper divisors (714467958220800).

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

218409500252160 is a wasteful number, since it uses less digits than its factorization.

218409500252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131165 (or 131129 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 218409500252160 in words is "two hundred eighteen trillion, four hundred nine billion, five hundred million, two hundred fifty-two thousand, one hundred sixty".