985051518464 has 160 divisors (see below), whose sum is σ = 2175138282240. Its totient is φ = 442783014912.

The previous prime is 985051518457. The next prime is 985051518467. The reversal of 985051518464 is 464815150589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985051518467) 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, 102743879 + ... + 102753465.

It is an arithmetic number, because the mean of its divisors is an integer number (13594614264).

Almost surely, 2^985051518464 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 985051518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087569141120).

985051518464 is an abundant number, since it is smaller than the sum of its proper divisors (1190086763776).

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

985051518464 is a wasteful number, since it uses less digits than its factorization.

985051518464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 56.

The spelling of 985051518464 in words is "nine hundred eighty-five billion, fifty-one million, five hundred eighteen thousand, four hundred sixty-four".