4935737609104 has 45 divisors (see below), whose sum is σ = 9592091788467. Its totient is φ = 2460381837312.

The previous prime is 4935737609087. The next prime is 4935737609107. The reversal of 4935737609104 is 4019067375394.

The square root of 4935737609104 is 2221652.

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

It can be written as a sum of positive squares in 4 ways, for example, as 678745299600 + 4256992309504 = 823860^2 + 2063248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4935737609107) 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 8 ways as a sum of consecutive naturals, for example, 3990086374 + ... + 3990087610.

Almost surely, 2^{4935737609104} is an apocalyptic number.

4935737609104 is the 2221652-nd square number.

It is an amenable number.

4935737609104 is a deficient number, since it is larger than the sum of its proper divisors (4656354179363).

4935737609104 is an frugal number, since it uses more digits than its factorization.

4935737609104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 58.

The spelling of 4935737609104 in words is "four trillion, nine hundred thirty-five billion, seven hundred thirty-seven million, six hundred nine thousand, one hundred four".