1216740704256 has 1200 divisors, whose sum is σ = 4643581958400. Its totient is φ = 316036546560.

The previous prime is 1216740704243. The next prime is 1216740704279. The reversal of 1216740704256 is 6524070476121.

1216740704256 is a `hidden beast` number, since 1 + 216 + 7 + 4 + 0 + 7 + 0 + 425 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110612791291 + ... + 110612791301.

It is an arithmetic number, because the mean of its divisors is an integer number (3869651632).

Almost surely, 2^{1216740704256} is an apocalyptic number.

1216740704256 is a gapful number since it is divisible by the number (16) 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 1216740704256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321790979200).

1216740704256 is an abundant number, since it is smaller than the sum of its proper divisors (3426841254144).

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

1216740704256 is an frugal number, since it uses more digits than its factorization.

1216740704256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

It can be divided in two parts, 1216740 and 704256, that added together give a square (1920996 = 1386²).

The spelling of 1216740704256 in words is "one trillion, two hundred sixteen billion, seven hundred forty million, seven hundred four thousand, two hundred fifty-six".