495137313216 has 784 divisors, whose sum is σ = 1828307443200. Its totient is φ = 129491675136.

The previous prime is 495137313211. The next prime is 495137313217. The reversal of 495137313216 is 612313731594.

495137313216 is a `hidden beast` number, since 4 + 9 + 51 + 373 + 13 + 216 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495137313211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 590151325 + ... + 590152163.

It is an arithmetic number, because the mean of its divisors is an integer number (2332024800).

Almost surely, 2^495137313216 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 495137313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914153721600).

495137313216 is an abundant number, since it is smaller than the sum of its proper divisors (1333170129984).

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

495137313216 is a wasteful number, since it uses less digits than its factorization.

495137313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1003 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 495137313216 in words is "four hundred ninety-five billion, one hundred thirty-seven million, three hundred thirteen thousand, two hundred sixteen".