1220448673536 has 144 divisors (see below), whose sum is σ = 3289360209408. Its totient is φ = 401677516800.

The previous prime is 1220448673511. The next prime is 1220448673537. The reversal of 1220448673536 is 6353768440221.

It is a super-3 number, since 3×1220448673536³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220448673537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32088771 + ... + 32126781.

It is an arithmetic number, because the mean of its divisors is an integer number (22842779232).

Almost surely, 2^{1220448673536} is an apocalyptic number.

1220448673536 is a gapful number since it is divisible by the number (16) 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 1220448673536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644680104704).

1220448673536 is an abundant number, since it is smaller than the sum of its proper divisors (2068911535872).

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

1220448673536 is an equidigital number, since it uses as much as digits as its factorization.

1220448673536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38558 (or 38544 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 1220448673536 in words is "one trillion, two hundred twenty billion, four hundred forty-eight million, six hundred seventy-three thousand, five hundred thirty-six".