12434763479616 has 189 divisors, whose sum is σ = 35829528349563. Its totient is φ = 4123227386880.

The previous prime is 12434763479609. The next prime is 12434763479623. The reversal of 12434763479616 is 61697436743421.

The square root of 12434763479616 is 3526296.

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

12434763479616 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 4 + 7 + 6 + 3 + 4 + 7 + 9 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (12434763479609) and next prime (12434763479623).

It can be written as a sum of positive squares in 4 ways, for example, as 2580186839616 + 9854576640000 = 1606296^2 + 3139200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29536255086 + ... + 29536255506.

Almost surely, 2^{12434763479616} is an apocalyptic number.

12434763479616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12434763479616 is the 3526296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434763479616

12434763479616 is an abundant number, since it is smaller than the sum of its proper divisors (23394764869947).

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

12434763479616 is an frugal number, since it uses more digits than its factorization.

12434763479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 775 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 12434763479616 in words is "twelve trillion, four hundred thirty-four billion, seven hundred sixty-three million, four hundred seventy-nine thousand, six hundred sixteen".