490845491305344 has 768 divisors, whose sum is σ = 1785299667840000. Its totient is φ = 126203221573632.

The previous prime is 490845491305333. The next prime is 490845491305363. The reversal of 490845491305344 is 443503194548094.

490845491305344 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 4 + 5 + 4 + 91 + 3 + 0 + 534 + 4 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408882507 + ... + 410081205.

It is an arithmetic number, because the mean of its divisors is an integer number (2324608942500).

Almost surely, 2^{490845491305344} 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 490845491305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892649833920000).

490845491305344 is an abundant number, since it is smaller than the sum of its proper divisors (1294454176534656).

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

490845491305344 is a wasteful number, since it uses less digits than its factorization.

490845491305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198875 (or 1198860 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 490845491305344 in words is "four hundred ninety trillion, eight hundred forty-five billion, four hundred ninety-one million, three hundred five thousand, three hundred forty-four".