945515648 has 256 divisors, whose sum is σ = 2533386240. Its totient is φ = 340623360.

The previous prime is 945515647. The next prime is 945515653. The reversal of 945515648 is 846515549.

It is a super-3 number, since 3×945515648³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (945515647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9747536 + ... + 9747632.

It is an arithmetic number, because the mean of its divisors is an integer number (9896040).

Almost surely, 2^945515648 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 945515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266693120).

945515648 is an abundant number, since it is smaller than the sum of its proper divisors (1587870592).

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

945515648 is a wasteful number, since it uses less digits than its factorization.

945515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its digits is 864000, while the sum is 47.

The square root of 945515648 is about 30749.2381694246. The cubic root of 945515648 is about 981.4983493637.

Subtracting from 945515648 its reverse (846515549), we obtain a palindrome (99000099).

The spelling of 945515648 in words is "nine hundred forty-five million, five hundred fifteen thousand, six hundred forty-eight".