945891648 has 336 divisors, whose sum is σ = 3123590400. Its totient is φ = 280350720.

The previous prime is 945891641. The next prime is 945891671. The reversal of 945891648 is 846198549.

945891648 is a `hidden beast` number, since 9 + 4 + 589 + 16 + 48 = 666.

It is a super-2 number, since 2×945891648² = 1789422019512311808, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 945891594 and 945891603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945891641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11973273 + ... + 11973351.

It is an arithmetic number, because the mean of its divisors is an integer number (9296400).

Almost surely, 2^945891648 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 945891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561795200).

945891648 is an abundant number, since it is smaller than the sum of its proper divisors (2177698752).

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

945891648 is a wasteful number, since it uses less digits than its factorization.

945891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 945891648 is about 30755.3515343265. The cubic root of 945891648 is about 981.6284351612.

The spelling of 945891648 in words is "nine hundred forty-five million, eight hundred ninety-one thousand, six hundred forty-eight".