495117245952 has 800 divisors, whose sum is σ = 1738269815040. Its totient is φ = 137395077120.

The previous prime is 495117245941. The next prime is 495117245981. The reversal of 495117245952 is 259542711594.

495117245952 is a `hidden beast` number, since 4 + 9 + 511 + 7 + 24 + 59 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2346527127 + ... + 2346527337.

Almost surely, 2^495117245952 is an apocalyptic number.

495117245952 is a gapful number since it is divisible by the number (42) 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 495117245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869134907520).

495117245952 is an abundant number, since it is smaller than the sum of its proper divisors (1243152569088).

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

495117245952 is a wasteful number, since it uses less digits than its factorization.

495117245952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 419 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 495117245952 in words is "four hundred ninety-five billion, one hundred seventeen million, two hundred forty-five thousand, nine hundred fifty-two".