4345469856 has 672 divisors, whose sum is σ = 16658369280. Its totient is φ = 1083912192.

The previous prime is 4345469771. The next prime is 4345469861. The reversal of 4345469856 is 6589645434.

4345469856 is a `hidden beast` number, since 4 + 3 + 4 + 546 + 98 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×4345469856³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (12441600) is a multiple of the sum of its prime factors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48825460 + ... + 48825548.

It is an arithmetic number, because the mean of its divisors is an integer number (24789240).

Almost surely, 2^4345469856 is an apocalyptic number.

4345469856 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 4345469856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329184640).

4345469856 is an abundant number, since it is smaller than the sum of its proper divisors (12312899424).

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

4345469856 is a wasteful number, since it uses less digits than its factorization.

4345469856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 4345469856 is about 65920.1779123813. The cubic root of 4345469856 is about 1631.8450328634.

The spelling of 4345469856 in words is "four billion, three hundred forty-five million, four hundred sixty-nine thousand, eight hundred fifty-six".