953916144128 has 80 divisors (see below), whose sum is σ = 1912791151656. Its totient is φ = 475253391360.

The previous prime is 953916144127. The next prime is 953916144161. The reversal of 953916144128 is 821441619359.

It can be written as a sum of positive squares in 4 ways, for example, as 927661775104 + 26254369024 = 963152^2 + 162032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 953916144128.

It is not an unprimeable number, because it can be changed into a prime (953916144127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408878450 + ... + 408880782.

Almost surely, 2^953916144128 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 953916144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956395575828).

953916144128 is an abundant number, since it is smaller than the sum of its proper divisors (958875007528).

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

953916144128 is a wasteful number, since it uses less digits than its factorization.

953916144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4849 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 53.

The spelling of 953916144128 in words is "nine hundred fifty-three billion, nine hundred sixteen million, one hundred forty-four thousand, one hundred twenty-eight".