495813301632 has 1280 divisors, whose sum is σ = 1792413849600. Its totient is φ = 135489024000.

The previous prime is 495813301591. The next prime is 495813301639. The reversal of 495813301632 is 236103318594.

495813301632 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 1 + 3 + 3 + 0 + 1 + 632 = 666.

It is a super-2 number, since 2×495813301632² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495813301639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8128086882 + ... + 8128086942.

It is an arithmetic number, because the mean of its divisors is an integer number (1400323320).

Almost surely, 2^495813301632 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 495813301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896206924800).

495813301632 is an abundant number, since it is smaller than the sum of its proper divisors (1296600547968).

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

495813301632 is a wasteful number, since it uses less digits than its factorization.

495813301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 495813301632 in words is "four hundred ninety-five billion, eight hundred thirteen million, three hundred one thousand, six hundred thirty-two".