498105913645256 has 256 divisors, whose sum is σ = 1104829629235200. Its totient is φ = 206139781785600.

The previous prime is 498105913645247. The next prime is 498105913645259. The reversal of 498105913645256 is 652546319501894.

It is a super-2 number, since 2×498105913645256² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (498105913645259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48496335401 + ... + 48496345671.

It is an arithmetic number, because the mean of its divisors is an integer number (4315740739200).

Almost surely, 2^{498105913645256} 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 498105913645256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552414814617600).

498105913645256 is an abundant number, since it is smaller than the sum of its proper divisors (606723715589944).

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

498105913645256 is a wasteful number, since it uses less digits than its factorization.

498105913645256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 68.

The spelling of 498105913645256 in words is "four hundred ninety-eight trillion, one hundred five billion, nine hundred thirteen million, six hundred forty-five thousand, two hundred fifty-six".