496854798336 has 1248 divisors, whose sum is σ = 1763154032640. Its totient is φ = 138454106112.

The previous prime is 496854798313. The next prime is 496854798373. The reversal of 496854798336 is 633897458694.

496854798336 is a `hidden beast` number, since 4 + 96 + 85 + 47 + 98 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

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 95 ways as a sum of consecutive naturals, for example, 10571378665 + ... + 10571378711.

It is an arithmetic number, because the mean of its divisors is an integer number (1412783680).

Almost surely, 2^496854798336 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 496854798336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881577016320).

496854798336 is an abundant number, since it is smaller than the sum of its proper divisors (1266299234304).

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

496854798336 is a wasteful number, since it uses less digits than its factorization.

496854798336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 496854798336 in words is "four hundred ninety-six billion, eight hundred fifty-four million, seven hundred ninety-eight thousand, three hundred thirty-six".