218038122660996 has 315 divisors, whose sum is σ = 620702008482647. Its totient is φ = 64535596559280.

The previous prime is 218038122660913. The next prime is 218038122661003. The reversal of 218038122660996 is 699066221830812.

The square root of 218038122660996 is 14766114.

It is a perfect power (a square), and thus also a powerful number.

218038122660996 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 3 + 8 + 12 + 2 + 6 + 609 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 5070654015351 + ... + 5070654015393.

Almost surely, 2^{218038122660996} is an apocalyptic number.

218038122660996 is the 14766114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218038122660996

218038122660996 is an abundant number, since it is smaller than the sum of its proper divisors (402663885821651).

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

218038122660996 is an frugal number, since it uses more digits than its factorization.

218038122660996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 218038122660996 in words is "two hundred eighteen trillion, thirty-eight billion, one hundred twenty-two million, six hundred sixty thousand, nine hundred ninety-six".