6486434133312 has 448 divisors, whose sum is σ = 21288191754240. Its totient is φ = 1703232921600.

The previous prime is 6486434133253. The next prime is 6486434133353. The reversal of 6486434133312 is 2133314346846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×6486434133312³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73659613 + ... + 73747619.

Almost surely, 2^{6486434133312} is an apocalyptic number.

6486434133312 is a gapful number since it is divisible by the number (62) 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 6486434133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644095877120).

6486434133312 is an abundant number, since it is smaller than the sum of its proper divisors (14801757620928).

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

6486434133312 is a wasteful number, since it uses less digits than its factorization.

6486434133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88150 (or 88140 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 6486434133312 in words is "six trillion, four hundred eighty-six billion, four hundred thirty-four million, one hundred thirty-three thousand, three hundred twelve".