496164740806224 has 160 divisors (see below), whose sum is σ = 1627859390688000. Its totient is φ = 141741407264256.

The previous prime is 496164740806169. The next prime is 496164740806297. The reversal of 496164740806224 is 422608047461694.

496164740806224 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 6 + 474 + 0 + 80 + 62 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9957622 + ... + 33037610.

It is an arithmetic number, because the mean of its divisors is an integer number (10174121191800).

Almost surely, 2^{496164740806224} 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 496164740806224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813929695344000).

496164740806224 is an abundant number, since it is smaller than the sum of its proper divisors (1131694649881776).

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

496164740806224 is a wasteful number, since it uses less digits than its factorization.

496164740806224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23087122 (or 23087110 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 496164740806224 in words is "four hundred ninety-six trillion, one hundred sixty-four billion, seven hundred forty million, eight hundred six thousand, two hundred twenty-four".