220248387072 has 480 divisors, whose sum is σ = 756408818880. Its totient is φ = 60362588160.

The previous prime is 220248387061. The next prime is 220248387083. The reversal of 220248387072 is 270783842022.

220248387072 is a `hidden beast` number, since 2 + 20 + 2 + 483 + 87 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (220248387061) and next prime (220248387083).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161827672 + ... + 161829032.

It is an arithmetic number, because the mean of its divisors is an integer number (1575851706).

Almost surely, 2^220248387072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220248387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378204409440).

220248387072 is an abundant number, since it is smaller than the sum of its proper divisors (536160431808).

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

220248387072 is a wasteful number, since it uses less digits than its factorization.

220248387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 220248387072 in words is "two hundred twenty billion, two hundred forty-eight million, three hundred eighty-seven thousand, seventy-two".