1216114624 has 56 divisors (see below), whose sum is σ = 2522931200. Its totient is φ = 580919040.

The previous prime is 1216114619. The next prime is 1216114633. The reversal of 1216114624 is 4264116121.

It is a super-2 number, since 2×1216114624² = 2957869557413322752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1216114592 and 1216114601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152857 + ... + 160615.

Almost surely, 2^1216114624 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 1216114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261465600).

1216114624 is an abundant number, since it is smaller than the sum of its proper divisors (1306816576).

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

1216114624 is an equidigital number, since it uses as much as digits as its factorization.

1216114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7881 (or 7871 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 1216114624 is about 34872.8350439135. The cubic root of 1216114624 is about 1067.3941960305.

The spelling of 1216114624 in words is "one billion, two hundred sixteen million, one hundred fourteen thousand, six hundred twenty-four".