220645622514240 has 1680 divisors, whose sum is σ = 986581905724800. Its totient is φ = 45819486535680.

The previous prime is 220645622514211. The next prime is 220645622514271. The reversal of 220645622514240 is 42415226546022.

220645622514240 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 4 + 5 + 622 + 5 + 14 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 66279848896 + ... + 66279852224.

It is an arithmetic number, because the mean of its divisors is an integer number (587251134360).

Almost surely, 2^{220645622514240} is an apocalyptic number.

220645622514240 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 220645622514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493290952862400).

220645622514240 is an abundant number, since it is smaller than the sum of its proper divisors (765936283210560).

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

220645622514240 is a wasteful number, since it uses less digits than its factorization.

220645622514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 220645622514240 in words is "two hundred twenty trillion, six hundred forty-five billion, six hundred twenty-two million, five hundred fourteen thousand, two hundred forty".