48415837506201 has 27 divisors (see below), whose sum is σ = 76869954142527. Its totient is φ = 29342792658960.

The previous prime is 48415837506193. The next prime is 48415837506217. The reversal of 48415837506201 is 10260573851484.

It is a happy number.

The square root of 48415837506201 is 6958149.

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

48415837506201 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 5 + 8 + 3 + 7 + 5 + 0 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47420783375625 + 995054130576 = 6886275^2 + 997524^2 .

It is not a de Polignac number, because 48415837506201 - 2³ = 48415837506193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48415837506251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229513491 + ... + 229724343.

Almost surely, 2^{48415837506201} is an apocalyptic number.

48415837506201 is the 6958149-th square number.

48415837506201 is the 3479075-th centered octagonal number.

It is an amenable number.

48415837506201 is a deficient number, since it is larger than the sum of its proper divisors (28454116636326).

48415837506201 is an frugal number, since it uses more digits than its factorization.

48415837506201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421734 (or 210867 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 48415837506201 in words is "forty-eight trillion, four hundred fifteen billion, eight hundred thirty-seven million, five hundred six thousand, two hundred one".