4924166817856 has 1008 divisors, whose sum is σ = 13129596450432. Its totient is φ = 1815352197120.

The previous prime is 4924166817781. The next prime is 4924166817907. The reversal of 4924166817856 is 6587186614294.

Its product of digits (139345920) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4924166817791 and 4924166817800.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35942823420 + ... + 35942823556.

It is an arithmetic number, because the mean of its divisors is an integer number (13025393304).

Almost surely, 2^{4924166817856} is an apocalyptic number.

4924166817856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4924166817856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564798225216).

4924166817856 is an abundant number, since it is smaller than the sum of its proper divisors (8205429632576).

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

4924166817856 is a wasteful number, since it uses less digits than its factorization.

4924166817856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 248 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 67.

The spelling of 4924166817856 in words is "four trillion, nine hundred twenty-four billion, one hundred sixty-six million, eight hundred seventeen thousand, eight hundred fifty-six".