498118731552 has 288 divisors, whose sum is σ = 1616955041520. Its totient is φ = 144096952320.

The previous prime is 498118731499. The next prime is 498118731563. The reversal of 498118731552 is 255137811894.

498118731552 is a `hidden beast` number, since 4 + 9 + 8 + 1 + 1 + 87 + 3 + 1 + 552 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 54514778256 + 443603953296 = 233484^2 + 666036^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68036052 + ... + 68043372.

Almost surely, 2^498118731552 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 498118731552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808477520760).

498118731552 is an abundant number, since it is smaller than the sum of its proper divisors (1118836309968).

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

498118731552 is a wasteful number, since it uses less digits than its factorization.

498118731552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436 (or 8425 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 498118731552 in words is "four hundred ninety-eight billion, one hundred eighteen million, seven hundred thirty-one thousand, five hundred fifty-two".