4834876168656 has 320 divisors, whose sum is σ = 14421743616000. Its totient is φ = 1549193817600.

The previous prime is 4834876168651. The next prime is 4834876168657. The reversal of 4834876168656 is 6568616784384.

4834876168656 is a `hidden beast` number, since 4 + 8 + 3 + 487 + 6 + 16 + 86 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4834876168651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2161320370 + ... + 2161322606.

It is an arithmetic number, because the mean of its divisors is an integer number (45067948800).

Almost surely, 2^{4834876168656} 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 4834876168656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210871808000).

4834876168656 is an abundant number, since it is smaller than the sum of its proper divisors (9586867447344).

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

4834876168656 is a wasteful number, since it uses less digits than its factorization.

4834876168656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3283 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 4834876168656 in words is "four trillion, eight hundred thirty-four billion, eight hundred seventy-six million, one hundred sixty-eight thousand, six hundred fifty-six".