220148640000 has 1215 divisors, whose sum is σ = 880803016093. Its totient is φ = 52850688000.

The previous prime is 220148639981. The next prime is 220148640001. The reversal of 220148640000 is 46841022.

The square root of 220148640000 is 469200.

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

220148640000 is a `hidden beast` number, since 2 + 2 + 0 + 14 + 8 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 107510540544 + 112638099456 = 327888^2 + 335616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220148640001) 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, 9571679989 + ... + 9571680011.

Almost surely, 2^220148640000 is an apocalyptic number.

220148640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220148640000 is the 469200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220148640000

220148640000 is an abundant number, since it is smaller than the sum of its proper divisors (660654376093).

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

220148640000 is an equidigital number, since it uses as much as digits as its factorization.

220148640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 220148640000 in words is "two hundred twenty billion, one hundred forty-eight million, six hundred forty thousand".