498461071104 has 216 divisors, whose sum is σ = 1568861898240. Its totient is φ = 157408386048.

The previous prime is 498461071091. The next prime is 498461071127. The reversal of 498461071104 is 401170164894.

498461071104 is a `hidden beast` number, since 498 + 46 + 1 + 0 + 7 + 110 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×498461071104² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 498461071104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 971089 + ... + 1392815.

Almost surely, 2^498461071104 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 498461071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784430949120).

498461071104 is an abundant number, since it is smaller than the sum of its proper divisors (1070400827136).

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

498461071104 is an equidigital number, since it uses as much as digits as its factorization.

498461071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421777 (or 421751 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 498461071104 in words is "four hundred ninety-eight billion, four hundred sixty-one million, seventy-one thousand, one hundred four".