518923282464 has 96 divisors (see below), whose sum is σ = 1515427280640. Its totient is φ = 172757166336.

The previous prime is 518923282403. The next prime is 518923282469. The reversal of 518923282464 is 464282329815.

518923282464 is a `hidden beast` number, since 5 + 1 + 89 + 23 + 2 + 82 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×518923282464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 518923282464.

It is not an unprimeable number, because it can be changed into a prime (518923282469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311817 + ... + 1065399.

It is an arithmetic number, because the mean of its divisors is an integer number (15785700840).

Almost surely, 2^518923282464 is an apocalyptic number.

518923282464 is a gapful number since it is divisible by the number (54) 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 518923282464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757713640320).

518923282464 is an abundant number, since it is smaller than the sum of its proper divisors (996503998176).

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

518923282464 is a wasteful number, since it uses less digits than its factorization.

518923282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754399 (or 754385 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 518923282464 in words is "five hundred eighteen billion, nine hundred twenty-three million, two hundred eighty-two thousand, four hundred sixty-four".