498107658048 has 672 divisors, whose sum is σ = 1804257211392. Its totient is φ = 117747302400.

The previous prime is 498107658017. The next prime is 498107658053. The reversal of 498107658048 is 840856701894.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×498107658048³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 498107657982 and 498107658000.

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, 182388843 + ... + 182391573.

Almost surely, 2^498107658048 is an apocalyptic number.

498107658048 is a gapful number since it is divisible by the number (48) 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 498107658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902128605696).

498107658048 is an abundant number, since it is smaller than the sum of its proper divisors (1306149553344).

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

498107658048 is a wasteful number, since it uses less digits than its factorization.

498107658048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 498107658048 in words is "four hundred ninety-eight billion, one hundred seven million, six hundred fifty-eight thousand, forty-eight".