4993418968512 has 336 divisors, whose sum is σ = 14889104596128. Its totient is φ = 1468098846720.

The previous prime is 4993418968493. The next prime is 4993418968579. The reversal of 4993418968512 is 2158698143994.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2140341298 + ... + 2140343630.

It is an arithmetic number, because the mean of its divisors is an integer number (44312811298).

Almost surely, 2^{4993418968512} 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 4993418968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444552298064).

4993418968512 is an abundant number, since it is smaller than the sum of its proper divisors (9895685627616).

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

4993418968512 is a wasteful number, since it uses less digits than its factorization.

4993418968512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 3995 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 69.

The spelling of 4993418968512 in words is "four trillion, nine hundred ninety-three billion, four hundred eighteen million, nine hundred sixty-eight thousand, five hundred twelve".