6258934384416 has 768 divisors, whose sum is σ = 23151090816000. Its totient is φ = 1637537513472.

The previous prime is 6258934384393. The next prime is 6258934384447. The reversal of 6258934384416 is 6144834398526.

6258934384416 is a `hidden beast` number, since 6 + 2 + 58 + 93 + 4 + 3 + 84 + 416 = 666.

It is a super-2 number, since 2×6258934384416² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 186388620 + ... + 186422196.

It is an arithmetic number, because the mean of its divisors is an integer number (30144649500).

Almost surely, 2^{6258934384416} 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 6258934384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575545408000).

6258934384416 is an abundant number, since it is smaller than the sum of its proper divisors (16892156431584).

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

6258934384416 is a wasteful number, since it uses less digits than its factorization.

6258934384416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33671 (or 33643 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 6258934384416 in words is "six trillion, two hundred fifty-eight billion, nine hundred thirty-four million, three hundred eighty-four thousand, four hundred sixteen".