1220306715648 has 616 divisors, whose sum is σ = 3769522660800. Its totient is φ = 394520150016.

The previous prime is 1220306715637. The next prime is 1220306715659. The reversal of 1220306715648 is 8465176030221.

1220306715648 is a `hidden beast` number, since 1 + 2 + 20 + 3 + 0 + 67 + 1 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1220306715637) and next prime (1220306715659).

It is a super-3 number, since 3×1220306715648³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 4536456058 + ... + 4536456326.

Almost surely, 2^{1220306715648} is an apocalyptic number.

1220306715648 is a gapful number since it is divisible by the number (18) 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 1220306715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884761330400).

1220306715648 is an abundant number, since it is smaller than the sum of its proper divisors (2549215945152).

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

1220306715648 is an equidigital number, since it uses as much as digits as its factorization.

1220306715648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1220306715648 in words is "one trillion, two hundred twenty billion, three hundred six million, seven hundred fifteen thousand, six hundred forty-eight".