8955459742464 has 432 divisors, whose sum is σ = 26998240389120. Its totient is φ = 2851729735680.

The previous prime is 8955459742459. The next prime is 8955459742483. The reversal of 8955459742464 is 4642479545598.

8955459742464 is a `hidden beast` number, since 8 + 9 + 5 + 5 + 4 + 597 + 4 + 24 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8955459742392 and 8955459742401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2122647747 + ... + 2122651965.

Almost surely, 2^{8955459742464} 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 8955459742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499120194560).

8955459742464 is an abundant number, since it is smaller than the sum of its proper divisors (18042780646656).

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

8955459742464 is a wasteful number, since it uses less digits than its factorization.

8955459742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4631 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 72.

The spelling of 8955459742464 in words is "eight trillion, nine hundred fifty-five billion, four hundred fifty-nine million, seven hundred forty-two thousand, four hundred sixty-four".