6285409404516 has 192 divisors, whose sum is σ = 18032586163200. Its totient is φ = 1877311468800.

The previous prime is 6285409404509. The next prime is 6285409404517. The reversal of 6285409404516 is 6154049045826.

It is a happy number.

6285409404516 is a `hidden beast` number, since 6 + 2 + 8 + 540 + 9 + 40 + 4 + 51 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6285409404517) 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 63 ways as a sum of consecutive naturals, for example, 132750775 + ... + 132798113.

It is an arithmetic number, because the mean of its divisors is an integer number (93919719600).

Almost surely, 2^{6285409404516} is an apocalyptic number.

6285409404516 is a gapful number since it is divisible by the number (66) 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 6285409404516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016293081600).

6285409404516 is an abundant number, since it is smaller than the sum of its proper divisors (11747176758684).

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

6285409404516 is a wasteful number, since it uses less digits than its factorization.

6285409404516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48967 (or 48959 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 6285409404516 in words is "six trillion, two hundred eighty-five billion, four hundred nine million, four hundred four thousand, five hundred sixteen".