4969456128 has 360 divisors, whose sum is σ = 17977747788. Its totient is φ = 1309851648.

The previous prime is 4969456109. The next prime is 4969456139. The reversal of 4969456128 is 8216549694.

4969456128 is a `hidden beast` number, since 4 + 9 + 69 + 456 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4652331264 + 317124864 = 68208^2 + 17808^2 .

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 35 ways as a sum of consecutive naturals, for example, 2934450 + ... + 2936142.

Almost surely, 2^4969456128 is an apocalyptic number.

4969456128 is a gapful number since it is divisible by the number (48) 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 4969456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988873894).

4969456128 is an abundant number, since it is smaller than the sum of its proper divisors (13008291660).

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

4969456128 is a wasteful number, since it uses less digits than its factorization.

4969456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1718 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 4969456128 is about 70494.3694772852. The cubic root of 4969456128 is about 1706.4868799328.

The spelling of 4969456128 in words is "four billion, nine hundred sixty-nine million, four hundred fifty-six thousand, one hundred twenty-eight".