495739249450416 has 400 divisors, whose sum is σ = 1468326066831360. Its totient is φ = 161401391907840.

The previous prime is 495739249450381. The next prime is 495739249450427. The reversal of 495739249450416 is 614054942937594.

495739249450416 is a `hidden beast` number, since 4 + 9 + 5 + 7 + 3 + 9 + 24 + 94 + 504 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124965778065 + ... + 124965782031.

Almost surely, 2^{495739249450416} 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 495739249450416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734163033415680).

495739249450416 is an abundant number, since it is smaller than the sum of its proper divisors (972586817380944).

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

495739249450416 is a wasteful number, since it uses less digits than its factorization.

495739249450416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 495739249450416 in words is "four hundred ninety-five trillion, seven hundred thirty-nine billion, two hundred forty-nine million, four hundred fifty thousand, four hundred sixteen".