4959006961856 has 224 divisors, whose sum is σ = 10476829440000. Its totient is φ = 2325341491200.

The previous prime is 4959006961829. The next prime is 4959006961859. The reversal of 4959006961856 is 6581696009594.

It is a super-3 number, since 3×4959006961856³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4959006961859) 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 31 ways as a sum of consecutive naturals, for example, 3544679045 + ... + 3544680443.

It is an arithmetic number, because the mean of its divisors is an integer number (46771560000).

Almost surely, 2^{4959006961856} 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 4959006961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238414720000).

4959006961856 is an abundant number, since it is smaller than the sum of its proper divisors (5517822478144).

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

4959006961856 is a wasteful number, since it uses less digits than its factorization.

4959006961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 68.

The spelling of 4959006961856 in words is "four trillion, nine hundred fifty-nine billion, six million, nine hundred sixty-one thousand, eight hundred fifty-six".