945889306560 has 1120 divisors, whose sum is σ = 3829112179200. Its totient is φ = 219539496960.

The previous prime is 945889306513. The next prime is 945889306573. The reversal of 945889306560 is 65603988549.

It is a super-3 number, since 3×945889306560³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1149318309 + ... + 1149319131.

It is an arithmetic number, because the mean of its divisors is an integer number (3418850160).

Almost surely, 2^945889306560 is an apocalyptic number.

945889306560 is a gapful number since it is divisible by the number (90) 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 945889306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914556089600).

945889306560 is an abundant number, since it is smaller than the sum of its proper divisors (2883222872640).

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

945889306560 is a wasteful number, since it uses less digits than its factorization.

945889306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 945889306560 in words is "nine hundred forty-five billion, eight hundred eighty-nine million, three hundred six thousand, five hundred sixty".