495359908992 has 864 divisors, whose sum is σ = 1704130739220. Its totient is φ = 142538932224.

The previous prime is 495359908961. The next prime is 495359908997. The reversal of 495359908992 is 299809953594.

495359908992 is a `hidden beast` number, since 4 + 9 + 535 + 9 + 9 + 0 + 89 + 9 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 244455091776 + 250904817216 = 494424^2 + 500904^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 495359908992.

It is not an unprimeable number, because it can be changed into a prime (495359908997) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3155158578 + ... + 3155158734.

Almost surely, 2^495359908992 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 495359908992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852065369610).

495359908992 is an abundant number, since it is smaller than the sum of its proper divisors (1208770830228).

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

495359908992 is an equidigital number, since it uses as much as digits as its factorization.

495359908992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 495359908992 in words is "four hundred ninety-five billion, three hundred fifty-nine million, nine hundred eight thousand, nine hundred ninety-two".