1216893456 has 315 divisors, whose sum is σ = 3963192861. Its totient is φ = 361677312.

The previous prime is 1216893451. The next prime is 1216893479. The reversal of 1216893456 is 6543986121.

The square root of 1216893456 is 34884.

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

It can be written as a sum of positive squares in only one way, i.e., 947408400 + 269485056 = 30780^2 + 16416^2 .

It is not an unprimeable number, because it can be changed into a prime (1216893451) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 64047015 + ... + 64047033.

Almost surely, 2^1216893456 is an apocalyptic number.

1216893456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1216893456 is the 34884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216893456

1216893456 is an abundant number, since it is smaller than the sum of its proper divisors (2746299405).

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

1216893456 is an equidigital number, since it uses as much as digits as its factorization.

1216893456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 41 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 1216893456 is about 1067.6220099050.

The spelling of 1216893456 in words is "one billion, two hundred sixteen million, eight hundred ninety-three thousand, four hundred fifty-six".