4994735311872 has 1232 divisors, whose sum is σ = 16779208561920. Its totient is φ = 1478062080000.

The previous prime is 4994735311871. The next prime is 4994735311919. The reversal of 4994735311872 is 2781135374994.

4994735311872 is a `hidden beast` number, since 4 + 9 + 94 + 7 + 3 + 531 + 1 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×4994735311872² (a number of 26 digits) contains 22 as substring.

Its product of digits (45722880) is a multiple of the sum of its prime factors (392).

It is not an unprimeable number, because it can be changed into a prime (4994735311871) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 19899343747 + ... + 19899343997.

Almost surely, 2^{4994735311872} 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 4994735311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389604280960).

4994735311872 is an abundant number, since it is smaller than the sum of its proper divisors (11784473250048).

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

4994735311872 is a wasteful number, since it uses less digits than its factorization.

4994735311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 359 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 4994735311872 in words is "four trillion, nine hundred ninety-four billion, seven hundred thirty-five million, three hundred eleven thousand, eight hundred seventy-two".