220618090000 has 675 divisors, whose sum is σ = 694345404753. Its totient is φ = 67636800000.

The previous prime is 220618089983. The next prime is 220618090001. The reversal of 220618090000 is 90816022.

It is a happy number.

The square root of 220618090000 is 469700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 218309479696 + 2308610304 = 467236^2 + 48048^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (220618090001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3616689970 + ... + 3616690030.

Almost surely, 2^220618090000 is an apocalyptic number.

220618090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220618090000 is the 469700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220618090000

220618090000 is an abundant number, since it is smaller than the sum of its proper divisors (473727314753).

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

220618090000 is an equidigital number, since it uses as much as digits as its factorization.

220618090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 220618090000 in words is "two hundred twenty billion, six hundred eighteen million, ninety thousand".