4952711126016 has 352 divisors, whose sum is σ = 15030346087680. Its totient is φ = 1610179264512.

The previous prime is 4952711126009. The next prime is 4952711126039. The reversal of 4952711126016 is 6106211172594.

4952711126016 is a `hidden beast` number, since 4 + 9 + 5 + 27 + 1 + 1 + 12 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947521995 + ... + 947527221.

It is an arithmetic number, because the mean of its divisors is an integer number (42699846840).

Almost surely, 2^{4952711126016} 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 4952711126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515173043840).

4952711126016 is an abundant number, since it is smaller than the sum of its proper divisors (10077634961664).

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

4952711126016 is a wasteful number, since it uses less digits than its factorization.

4952711126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 4952711126016 in words is "four trillion, nine hundred fifty-two billion, seven hundred eleven million, one hundred twenty-six thousand, sixteen".