1216293032448 has 360 divisors, whose sum is σ = 3822541943220. Its totient is φ = 372133232640.

The previous prime is 1216293032429. The next prime is 1216293032467. The reversal of 1216293032448 is 8442303926121.

1216293032448 is a `hidden beast` number, since 12 + 1 + 629 + 3 + 0 + 3 + 2 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1216293032429) and next prime (1216293032467).

It can be written as a sum of positive squares in 6 ways, for example, as 46676738304 + 1169616294144 = 216048^2 + 1081488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140949798 + ... + 140958426.

Almost surely, 2^{1216293032448} is an apocalyptic number.

1216293032448 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 1216293032448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911270971610).

1216293032448 is an abundant number, since it is smaller than the sum of its proper divisors (2606248910772).

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

1216293032448 is a wasteful number, since it uses less digits than its factorization.

1216293032448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860 (or 8828 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 1216293032448 its reverse (8442303926121), we get a palindrome (9658596958569).

The spelling of 1216293032448 in words is "one trillion, two hundred sixteen billion, two hundred ninety-three million, thirty-two thousand, four hundred forty-eight".