1216652634144 has 192 divisors, whose sum is σ = 3562106647680. Its totient is φ = 404006952960.

The previous prime is 1216652634121. The next prime is 1216652634149. The reversal of 1216652634144 is 4414362566121.

1216652634144 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 6 + 5 + 2 + 634 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×1216652634144² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1216652634144.

It is not an unprimeable number, because it can be changed into a prime (1216652634149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291272184 + ... + 291276360.

It is an arithmetic number, because the mean of its divisors is an integer number (18552638790).

Almost surely, 2^{1216652634144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216652634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781053323840).

1216652634144 is an abundant number, since it is smaller than the sum of its proper divisors (2345454013536).

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

1216652634144 is a wasteful number, since it uses less digits than its factorization.

1216652634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5386 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 1216652634144 in words is "one trillion, two hundred sixteen billion, six hundred fifty-two million, six hundred thirty-four thousand, one hundred forty-four".