220625963712 has 672 divisors, whose sum is σ = 812133504000. Its totient is φ = 57237143040.

The previous prime is 220625963689. The next prime is 220625963717. The reversal of 220625963712 is 217369526022.

220625963712 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 2 + 5 + 9 + 637 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (220625963717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262962589 + ... + 262963427.

It is an arithmetic number, because the mean of its divisors is an integer number (1208532000).

Almost surely, 2^220625963712 is an apocalyptic number.

220625963712 is a gapful number since it is divisible by the number (22) 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 220625963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406066752000).

220625963712 is an abundant number, since it is smaller than the sum of its proper divisors (591507540288).

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

220625963712 is an equidigital number, since it uses as much as digits as its factorization.

220625963712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 220625963712 in words is "two hundred twenty billion, six hundred twenty-five million, nine hundred sixty-three thousand, seven hundred twelve".