496087838384320 has 168 divisors, whose sum is σ = 1479881811898224. Its totient is φ = 157003623512064.

The previous prime is 496087838384261. The next prime is 496087838384329. The reversal of 496087838384320 is 23483838780694.

It is a super-2 number, since 2×496087838384320² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (496087838384329) 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 23 ways as a sum of consecutive naturals, for example, 1216652122 + ... + 1217059801.

It is an arithmetic number, because the mean of its divisors is an integer number (8808820308918).

Almost surely, 2^{496087838384320} is an apocalyptic number.

496087838384320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496087838384320 is an abundant number, since it is smaller than the sum of its proper divisors (983793973513904).

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

496087838384320 is a wasteful number, since it uses less digits than its factorization.

496087838384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433711967 (or 2433711950 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 73.

The spelling of 496087838384320 in words is "four hundred ninety-six trillion, eighty-seven billion, eight hundred thirty-eight million, three hundred eighty-four thousand, three hundred twenty".