4258816965 has 192 divisors, whose sum is σ = 9008423424. Its totient is φ = 1839366144.

The previous prime is 4258816871. The next prime is 4258816967. The reversal of 4258816965 is 5696188524.

4258816965 is a `hidden beast` number, since 42 + 588 + 16 + 9 + 6 + 5 = 666.

It is not a de Polignac number, because 4258816965 - 2¹⁰ = 4258815941 is a prime.

It is a super-2 number, since 2×4258816965² = 36275043882743622450, which contains 22 as substring.

Its product of digits (4147200) is a multiple of the sum of its prime factors (540).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258816967) 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 191 ways as a sum of consecutive naturals, for example, 9835389 + ... + 9835821.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^4258816965 is an apocalyptic number.

4258816965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4258816965 is an abundant number, since it is smaller than the sum of its proper divisors (4749606459).

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

4258816965 is a wasteful number, since it uses less digits than its factorization.

4258816965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 537 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 4258816965 is about 65259.6120506397. The cubic root of 4258816965 is about 1620.9252658994.

The spelling of 4258816965 in words is "four billion, two hundred fifty-eight million, eight hundred sixteen thousand, nine hundred sixty-five".