8735994705456 has 240 divisors, whose sum is σ = 25800623297280. Its totient is φ = 2751755328000.

The previous prime is 8735994705443. The next prime is 8735994705461. The reversal of 8735994705456 is 6545074995378.

8735994705456 is a `hidden beast` number, since 8 + 7 + 3 + 5 + 9 + 9 + 4 + 70 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2712197926 + ... + 2712201146.

It is an arithmetic number, because the mean of its divisors is an integer number (107502597072).

Almost surely, 2^{8735994705456} 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 8735994705456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900311648640).

8735994705456 is an abundant number, since it is smaller than the sum of its proper divisors (17064628591824).

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

8735994705456 is a wasteful number, since it uses less digits than its factorization.

8735994705456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 8735994705456 in words is "eight trillion, seven hundred thirty-five billion, nine hundred ninety-four million, seven hundred five thousand, four hundred fifty-six".