218199054528 has 896 divisors, whose sum is σ = 822616023040. Its totient is φ = 55870746624.

The previous prime is 218199054523. The next prime is 218199054559. The reversal of 218199054528 is 825450991812.

218199054528 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 9 + 90 + 545 + 2 + 8 = 666.

It is a super-2 number, since 2×218199054528² (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 not an unprimeable number, because it can be changed into a prime (218199054523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 471272025 + ... + 471272487.

It is an arithmetic number, because the mean of its divisors is an integer number (918098240).

Almost surely, 2^218199054528 is an apocalyptic number.

218199054528 is a gapful number since it is divisible by the number (28) 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 218199054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411308011520).

218199054528 is an abundant number, since it is smaller than the sum of its proper divisors (604416968512).

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

218199054528 is an equidigital number, since it uses as much as digits as its factorization.

218199054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 218199054528 in words is "two hundred eighteen billion, one hundred ninety-nine million, fifty-four thousand, five hundred twenty-eight".