20218188503296 has 243 divisors, whose sum is σ = 49570729334721. Its totient is φ = 8205003620352.

The previous prime is 20218188503273. The next prime is 20218188503363. The reversal of 20218188503296 is 69230588181202.

The square root of 20218188503296 is 4496464.

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

It can be written as a sum of positive squares in only one way, i.e., 19132422400 + 20199056080896 = 138320^2 + 4494336^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 9568474336 + ... + 9568476448.

Almost surely, 2^{20218188503296} is an apocalyptic number.

20218188503296 is the 4496464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20218188503296

20218188503296 is an abundant number, since it is smaller than the sum of its proper divisors (29352540831425).

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

20218188503296 is an frugal number, since it uses more digits than its factorization.

20218188503296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 20218188503296 in words is "twenty trillion, two hundred eighteen billion, one hundred eighty-eight million, five hundred three thousand, two hundred ninety-six".