4697046144 has 576 divisors, whose sum is σ = 17345352960. Its totient is φ = 1236197376.

The previous prime is 4697046119. The next prime is 4697046149. The reversal of 4697046144 is 4416407964.

4697046144 is a `hidden beast` number, since 469 + 7 + 0 + 46 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 4697046144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4697046149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99937129 + ... + 99937175.

It is an arithmetic number, because the mean of its divisors is an integer number (30113460).

Almost surely, 2^4697046144 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 4697046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672676480).

4697046144 is an abundant number, since it is smaller than the sum of its proper divisors (12648306816).

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

4697046144 is an frugal number, since it uses more digits than its factorization.

4697046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4697046144 is about 68534.9994090611. Note that the first 3 decimals coincide. The cubic root of 4697046144 is about 1674.7176943400.

The spelling of 4697046144 in words is "four billion, six hundred ninety-seven million, forty-six thousand, one hundred forty-four".