495338913792 has 264 divisors, whose sum is σ = 1486008264195. Its totient is φ = 165112971264.

The previous prime is 495338913791. The next prime is 495338913821. The reversal of 495338913792 is 297319833594.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁶ ⋅ (3!)⁴ ⋅ 2!.

495338913792 is a `hidden beast` number, since 4 + 9 + 533 + 8 + 9 + 1 + 3 + 7 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 247669456896 + 247669456896 = 497664^2 + 497664^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=497664.

Its product of digits (44089920) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (495338913791) by changing a digit.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 165112971263 + 165112971264 + 165112971265.

Almost surely, 2^495338913792 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 495338913792

495338913792 is an abundant number, since it is smaller than the sum of its proper divisors (990669350403).

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

495338913792 is an frugal number, since it uses more digits than its factorization.

495338913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 5 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 495338913792 in words is "four hundred ninety-five billion, three hundred thirty-eight million, nine hundred thirteen thousand, seven hundred ninety-two".