498357215096832 has 4992 divisors, whose sum is σ = 2008790804643840. Its totient is φ = 120738860236800.

The previous prime is 498357215096771. The next prime is 498357215096833. The reversal of 498357215096832 is 238690512753894.

498357215096832 is a `hidden beast` number, since 4 + 9 + 8 + 3 + 5 + 7 + 21 + 509 + 68 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498357215096833) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12155054026732 + ... + 12155054026772.

It is a 1-persistent number, because it is pandigital, but 2⋅498357215096832 = 996714430193664 is not.

Almost surely, 2^{498357215096832} is an apocalyptic number.

498357215096832 is a gapful number since it is divisible by the number (42) 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 498357215096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004395402321920).

498357215096832 is an abundant number, since it is smaller than the sum of its proper divisors (1510433589547008).

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

498357215096832 is an equidigital number, since it uses as much as digits as its factorization.

498357215096832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 498357215096832 in words is "four hundred ninety-eight trillion, three hundred fifty-seven billion, two hundred fifteen million, ninety-six thousand, eight hundred thirty-two".