4859253387168 has 96 divisors (see below), whose sum is σ = 13565306341440. Its totient is φ = 1518681415680.

The previous prime is 4859253387161. The next prime is 4859253387193. The reversal of 4859253387168 is 8617833529584.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4859253387168² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4859253387161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13555363 + ... + 13909218.

It is an arithmetic number, because the mean of its divisors is an integer number (141305274390).

Almost surely, 2^{4859253387168} is an apocalyptic number.

4859253387168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4859253387168 is an abundant number, since it is smaller than the sum of its proper divisors (8706052954272).

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

4859253387168 is a wasteful number, since it uses less digits than its factorization.

4859253387168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27464710 (or 27464702 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 69.

The spelling of 4859253387168 in words is "four trillion, eight hundred fifty-nine billion, two hundred fifty-three million, three hundred eighty-seven thousand, one hundred sixty-eight".