495145939321728 has 192 divisors, whose sum is σ = 1487384726424480. Its totient is φ = 157808758947840.

The previous prime is 495145939321717. The next prime is 495145939321783. The reversal of 495145939321728 is 827123939541594.

495145939321728 is a `hidden beast` number, since 4 + 9 + 5 + 1 + 4 + 593 + 9 + 3 + 2 + 1 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61746288 + ... + 69302928.

Almost surely, 2^{495145939321728} is an apocalyptic number.

495145939321728 is a gapful number since it is divisible by the number (48) 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 495145939321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743692363212240).

495145939321728 is an abundant number, since it is smaller than the sum of its proper divisors (992238787102752).

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

495145939321728 is a wasteful number, since it uses less digits than its factorization.

495145939321728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559157 (or 7559142 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 495145939321728 in words is "four hundred ninety-five trillion, one hundred forty-five billion, nine hundred thirty-nine million, three hundred twenty-one thousand, seven hundred twenty-eight".