498433598511552 has 2016 divisors, whose sum is σ = 1785194696742912. Its totient is φ = 137307040358400.

The previous prime is 498433598511551. The next prime is 498433598511581. The reversal of 498433598511552 is 255115895334894.

It is a happy number.

498433598511552 is a `hidden beast` number, since 4 + 9 + 8 + 4 + 3 + 3 + 59 + 8 + 5 + 11 + 552 = 666.

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 (498433598511551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 953027912763 + ... + 953027913285.

It is an arithmetic number, because the mean of its divisors is an integer number (885513242432).

Almost surely, 2^{498433598511552} 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 498433598511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892597348371456).

498433598511552 is an abundant number, since it is smaller than the sum of its proper divisors (1286761098231360).

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

498433598511552 is an equidigital number, since it uses as much as digits as its factorization.

498433598511552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 587 counting only the distinct ones).

The product of its digits is 933120000, while the sum is 72.

The spelling of 498433598511552 in words is "four hundred ninety-eight trillion, four hundred thirty-three billion, five hundred ninety-eight million, five hundred eleven thousand, five hundred fifty-two".