8985958464 has 224 divisors, whose sum is σ = 28862853120. Its totient is φ = 2408620032.

The previous prime is 8985958453. The next prime is 8985958517. The reversal of 8985958464 is 4648595898.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 8985958395 and 8985958404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12497497 + ... + 12498215.

Almost surely, 2^8985958464 is an apocalyptic number.

8985958464 is a gapful number since it is divisible by the number (84) 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 8985958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431426560).

8985958464 is an abundant number, since it is smaller than the sum of its proper divisors (19876894656).

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

8985958464 is a wasteful number, since it uses less digits than its factorization.

8985958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 66.

The square root of 8985958464 is about 94794.2955245726. The cubic root of 8985958464 is about 2079.0014980644.

The spelling of 8985958464 in words is "eight billion, nine hundred eighty-five million, nine hundred fifty-eight thousand, four hundred sixty-four".