218402252550144 has 832 divisors, whose sum is σ = 745515306188800. Its totient is φ = 62619667660800.

The previous prime is 218402252550127. The next prime is 218402252550149. The reversal of 218402252550144 is 441055252204812.

218402252550144 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 0 + 2 + 2 + 52 + 550 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a self number, because there is not a number n which added to its sum of digits gives 218402252550144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218402252550149) 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, 1666224129 + ... + 1666355199.

Almost surely, 2^{218402252550144} is an apocalyptic number.

218402252550144 is a gapful number since it is divisible by the number (24) 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 218402252550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372757653094400).

218402252550144 is an abundant number, since it is smaller than the sum of its proper divisors (527113053638656).

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

218402252550144 is a wasteful number, since it uses less digits than its factorization.

218402252550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131197 (or 131169 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 218402252550144 in words is "two hundred eighteen trillion, four hundred two billion, two hundred fifty-two million, five hundred fifty thousand, one hundred forty-four".