501605222044464 has 320 divisors, whose sum is σ = 1464671769292800. Its totient is φ = 164329479917568.

The previous prime is 501605222044397. The next prime is 501605222044483. The reversal of 501605222044464 is 464440222506105.

501605222044464 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 0 + 522 + 20 + 4 + 44 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14918497957 + ... + 14918531579.

It is an arithmetic number, because the mean of its divisors is an integer number (4577099279040).

Almost surely, 2^{501605222044464} is an apocalyptic number.

501605222044464 is a gapful number since it is divisible by the number (54) 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 501605222044464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732335884646400).

501605222044464 is an abundant number, since it is smaller than the sum of its proper divisors (963066547248336).

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

501605222044464 is a wasteful number, since it uses less digits than its factorization.

501605222044464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35369 (or 35357 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 501605222044464 in words is "five hundred one trillion, six hundred five billion, two hundred twenty-two million, forty-four thousand, four hundred sixty-four".