4963113414072 has 480 divisors, whose sum is σ = 15995566540800. Its totient is φ = 1434909168000.

The previous prime is 4963113414067. The next prime is 4963113414121. The reversal of 4963113414072 is 2704143113694.

It is a happy number.

4963113414072 is a `hidden beast` number, since 4 + 9 + 631 + 1 + 3 + 4 + 1 + 4 + 0 + 7 + 2 = 666.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 172561629 + ... + 172590387.

It is an arithmetic number, because the mean of its divisors is an integer number (33324096960).

Almost surely, 2^{4963113414072} 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 4963113414072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997783270400).

4963113414072 is an abundant number, since it is smaller than the sum of its proper divisors (11032453126728).

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

4963113414072 is a wasteful number, since it uses less digits than its factorization.

4963113414072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28901 (or 28877 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4963113414072 in words is "four trillion, nine hundred sixty-three billion, one hundred thirteen million, four hundred fourteen thousand, seventy-two".