221303282872320 has 2496 divisors, whose sum is σ = 943849555923456. Its totient is φ = 49121108951040.

The previous prime is 221303282872313. The next prime is 221303282872327. The reversal of 221303282872320 is 23278282303122.

221303282872320 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 328 + 287 + 23 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (221303282872313) and next prime (221303282872327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (221303282872327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34433368947 + ... + 34433375373.

It is an arithmetic number, because the mean of its divisors is an integer number (378144854136).

Almost surely, 2^{221303282872320} is an apocalyptic number.

221303282872320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221303282872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471924777961728).

221303282872320 is an abundant number, since it is smaller than the sum of its proper divisors (722546273051136).

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

221303282872320 is a wasteful number, since it uses less digits than its factorization.

221303282872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 221303282872320 in words is "two hundred twenty-one trillion, three hundred three billion, two hundred eighty-two million, eight hundred seventy-two thousand, three hundred twenty".