6301164699648 has 1224 divisors, whose sum is σ = 23583166728576. Its totient is φ = 1605264998400.

The previous prime is 6301164699623. The next prime is 6301164699667. The reversal of 6301164699648 is 8469964611036.

6301164699648 is a `hidden beast` number, since 6 + 30 + 1 + 16 + 469 + 96 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11647254258 + ... + 11647254798.

Almost surely, 2^{6301164699648} 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 6301164699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11791583364288).

6301164699648 is an abundant number, since it is smaller than the sum of its proper divisors (17282002028928).

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

6301164699648 is a wasteful number, since it uses less digits than its factorization.

6301164699648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 6301164699648 in words is "six trillion, three hundred one billion, one hundred sixty-four million, six hundred ninety-nine thousand, six hundred forty-eight".