953145648 has 180 divisors, whose sum is σ = 3342004848. Its totient is φ = 251354880.

The previous prime is 953145631. The next prime is 953145667. The reversal of 953145648 is 846541359.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86533 + ... + 96923.

Almost surely, 2^953145648 is an apocalyptic number.

953145648 is a gapful number since it is divisible by the number (98) 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 953145648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671002424).

953145648 is an abundant number, since it is smaller than the sum of its proper divisors (2388859200).

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

953145648 is a wasteful number, since it uses less digits than its factorization.

953145648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10432 (or 10416 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 953145648 is about 30873.0569914934. The cubic root of 953145648 is about 984.1314022417.

The spelling of 953145648 in words is "nine hundred fifty-three million, one hundred forty-five thousand, six hundred forty-eight".