497998579009536 has 792 divisors, whose sum is σ = 1641798657569070. Its totient is φ = 150904226119680.

The previous prime is 497998579009513. The next prime is 497998579009541. The reversal of 497998579009536 is 635900975899794.

497998579009536 is a `hidden beast` number, since 497 + 9 + 9 + 85 + 7 + 9 + 0 + 0 + 9 + 5 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 383679715009536 + 114318864000000 = 19587744^2 + 10692000^2 .

It is a tau number, because it is divible by the number of its divisors (792).

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 65 ways as a sum of consecutive naturals, for example, 14632797576 + ... + 14632831608.

Almost surely, 2^{497998579009536} 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 497998579009536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820899328784535).

497998579009536 is an abundant number, since it is smaller than the sum of its proper divisors (1143800078559534).

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

497998579009536 is an frugal number, since it uses more digits than its factorization.

497998579009536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34107 (or 34049 counting only the distinct ones).

The product of its (nonzero) digits is 41664974400, while the sum is 90.

The spelling of 497998579009536 in words is "four hundred ninety-seven trillion, nine hundred ninety-eight billion, five hundred seventy-nine million, nine thousand, five hundred thirty-six".