218093857344 has 224 divisors, whose sum is σ = 740587190400. Its totient is φ = 62201364480.

The previous prime is 218093857277. The next prime is 218093857411. The reversal of 218093857344 is 443758390812.

It is a happy number.

218093857344 is a `hidden beast` number, since 21 + 8 + 0 + 9 + 3 + 8 + 573 + 44 = 666.

218093857344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (218093857277) and next prime (218093857411).

It is a super-2 number, since 2×218093857344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14329 + ... + 660600.

Almost surely, 2^218093857344 is an apocalyptic number.

218093857344 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 218093857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370293595200).

218093857344 is an abundant number, since it is smaller than the sum of its proper divisors (522493333056).

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

218093857344 is a wasteful number, since it uses less digits than its factorization.

218093857344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674978 (or 674962 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 218093857344 in words is "two hundred eighteen billion, ninety-three million, eight hundred fifty-seven thousand, three hundred forty-four".