4759861190656 has 224 divisors, whose sum is σ = 11544167448576. Its totient is φ = 1932705792000.

The previous prime is 4759861190629. The next prime is 4759861190743. The reversal of 4759861190656 is 6560911689574.

It is a junction number, because it is equal to n+sod(n) for n = 4759861190591 and 4759861190600.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36249601 + ... + 36380671.

It is an arithmetic number, because the mean of its divisors is an integer number (51536461824).

Almost surely, 2^{4759861190656} 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 4759861190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772083724288).

4759861190656 is an abundant number, since it is smaller than the sum of its proper divisors (6784306257920).

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

4759861190656 is a wasteful number, since it uses less digits than its factorization.

4759861190656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131152 (or 131128 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 67.

The spelling of 4759861190656 in words is "four trillion, seven hundred fifty-nine billion, eight hundred sixty-one million, one hundred ninety thousand, six hundred fifty-six".