218990065930272 has 216 divisors, whose sum is σ = 770676579376704. Its totient is φ = 57755621693952.

The previous prime is 218990065930169. The next prime is 218990065930283. The reversal of 218990065930272 is 272039560099812.

218990065930272 is a `hidden beast` number, since 2 + 18 + 9 + 9 + 0 + 0 + 6 + 593 + 0 + 27 + 2 = 666.

It is a super-2 number, since 2×218990065930272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321038068 + ... + 321719475.

It is an arithmetic number, because the mean of its divisors is an integer number (3567947126744).

Almost surely, 2^{218990065930272} is an apocalyptic number.

It is an amenable number.

218990065930272 is an abundant number, since it is smaller than the sum of its proper divisors (551686513446432).

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

218990065930272 is a wasteful number, since it uses less digits than its factorization.

218990065930272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642757592 (or 642757568 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 218990065930272 in words is "two hundred eighteen trillion, nine hundred ninety billion, sixty-five million, nine hundred thirty thousand, two hundred seventy-two".