953193448818 has 72 divisors (see below), whose sum is σ = 2236713561108. Its totient is φ = 293241102336.

The previous prime is 953193448813. The next prime is 953193448859. The reversal of 953193448818 is 818844391359.

953193448818 is a `hidden beast` number, since 9 + 53 + 1 + 93 + 4 + 488 + 18 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 759939489 + 952433509329 = 27567^2 + 975927^2 .

It is not an unprimeable number, because it can be changed into a prime (953193448813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20836146 + ... + 20881842.

Almost surely, 2^953193448818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 953193448818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118356780554).

953193448818 is an abundant number, since it is smaller than the sum of its proper divisors (1283520112290).

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

953193448818 is a wasteful number, since it uses less digits than its factorization.

953193448818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52588 (or 52572 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 953193448818 in words is "nine hundred fifty-three billion, one hundred ninety-three million, four hundred forty-eight thousand, eight hundred eighteen".