4136850905625 has 135 divisors (see below), whose sum is σ = 7642419960747. Its totient is φ = 2155635072000.

The previous prime is 4136850905591. The next prime is 4136850905633. The reversal of 4136850905625 is 5265090586314.

The square root of 4136850905625 is 2033925.

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

4136850905625 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 8 + 5 + 0 + 9 + 0 + 5 + 625 = 666.

4136850905625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 532837221849 + 3604013683776 = 729957^2 + 1898424^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4136850905625 is a prime.

It is a super-2 number, since 2×4136850905625² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7169585337 + ... + 7169585913.

Almost surely, 2^{4136850905625} is an apocalyptic number.

4136850905625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4136850905625 is the 2033925-th square number.

4136850905625 is the 1016963-rd centered octagonal number.

It is an amenable number.

4136850905625 is a deficient number, since it is larger than the sum of its proper divisors (3505569055122).

4136850905625 is an frugal number, since it uses more digits than its factorization.

4136850905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 4136850905625 in words is "four trillion, one hundred thirty-six billion, eight hundred fifty million, nine hundred five thousand, six hundred twenty-five".