1221714617344 has 99 divisors (see below), whose sum is σ = 2645547264507. Its totient is φ = 563656065024.

The previous prime is 1221714617339. The next prime is 1221714617401. The reversal of 1221714617344 is 4437164171221.

It is a happy number.

The square root of 1221714617344 is 1105312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 67035423744 + 1154679193600 = 258912^2 + 1074560^2 .

It is a super-2 number, since 2×1221714617344² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1221714617344.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 459808464 + ... + 459811120.

Almost surely, 2^{1221714617344} is an apocalyptic number.

1221714617344 is the 1105312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221714617344

1221714617344 is an abundant number, since it is smaller than the sum of its proper divisors (1423832647163).

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

1221714617344 is an frugal number, since it uses more digits than its factorization.

1221714617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 2672 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

Adding to 1221714617344 its reverse (4437164171221), we get a palindrome (5658878788565).

The spelling of 1221714617344 in words is "one trillion, two hundred twenty-one billion, seven hundred fourteen million, six hundred seventeen thousand, three hundred forty-four".