4768336057104 has 105 divisors (see below), whose sum is σ = 13852325256823. Its totient is φ = 1589366740896.

The previous prime is 4768336057061. The next prime is 4768336057129. The reversal of 4768336057104 is 4017506338674.

It is a happy number.

The square root of 4768336057104 is 2183652.

It is a perfect power (a square), and thus also a powerful number.

4768336057104 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 3 + 3 + 60 + 571 + 0 + 4 = 666.

It is a super-2 number, since 2×4768336057104² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 235824307 + ... + 235844525.

Almost surely, 2^{4768336057104} is an apocalyptic number.

4768336057104 is the 2183652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768336057104

4768336057104 is an abundant number, since it is smaller than the sum of its proper divisors (9083989199719).

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

4768336057104 is an frugal number, since it uses more digits than its factorization.

4768336057104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40464 (or 20224 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4768336057104 in words is "four trillion, seven hundred sixty-eight billion, three hundred thirty-six million, fifty-seven thousand, one hundred four".