6498116352 has 288 divisors, whose sum is σ = 23652840960. Its totient is φ = 1713623040.

The previous prime is 6498116351. The next prime is 6498116369. The reversal of 6498116352 is 2536118946.

6498116352 is a `hidden beast` number, since 6 + 4 + 9 + 8 + 1 + 1 + 635 + 2 = 666.

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

It is a super-2 number, since 2×6498116352² = 84451032248259575808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6498116298 and 6498116307.

It is not an unprimeable number, because it can be changed into a prime (6498116351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623827 + ... + 634157.

It is an arithmetic number, because the mean of its divisors is an integer number (82127920).

Almost surely, 2^6498116352 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 6498116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11826420480).

6498116352 is an abundant number, since it is smaller than the sum of its proper divisors (17154724608).

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

6498116352 is a wasteful number, since it uses less digits than its factorization.

6498116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376 (or 10356 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 6498116352 is about 80610.8947475464. The cubic root of 6498116352 is about 1866.0752856795.

The spelling of 6498116352 in words is "six billion, four hundred ninety-eight million, one hundred sixteen thousand, three hundred fifty-two".