218854094160 has 120 divisors (see below), whose sum is σ = 734650595424. Its totient is φ = 53871767040.

The previous prime is 218854094113. The next prime is 218854094167. The reversal of 218854094160 is 61490458812.

218854094160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×218854094160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218854094167) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2657346 + ... + 2738465.

Almost surely, 2^218854094160 is an apocalyptic number.

218854094160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218854094160 is an abundant number, since it is smaller than the sum of its proper divisors (515796501264).

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

218854094160 is a wasteful number, since it uses less digits than its factorization.

218854094160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395853 (or 5395834 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 218854094160 in words is "two hundred eighteen billion, eight hundred fifty-four million, ninety-four thousand, one hundred sixty".