496253121184128 has 1024 divisors, whose sum is σ = 1737898824499200. Its totient is φ = 121697914060800.

The previous prime is 496253121184127. The next prime is 496253121184133. The reversal of 496253121184128 is 821481121352694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496253121184127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36615733000 + ... + 36615746552.

It is an arithmetic number, because the mean of its divisors is an integer number (1697166820800).

Almost surely, 2^{496253121184128} is an apocalyptic number.

496253121184128 is a gapful number since it is divisible by the number (48) 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 496253121184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868949412249600).

496253121184128 is an abundant number, since it is smaller than the sum of its proper divisors (1241645703315072).

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

496253121184128 is a wasteful number, since it uses less digits than its factorization.

496253121184128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591 (or 14579 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The spelling of 496253121184128 in words is "four hundred ninety-six trillion, two hundred fifty-three billion, one hundred twenty-one million, one hundred eighty-four thousand, one hundred twenty-eight".