48135921201 has 9 divisors (see below), whose sum is σ = 69530614699. Its totient is φ = 32090175336.

The previous prime is 48135921133. The next prime is 48135921217. The reversal of 48135921201 is 10212953184.

The square root of 48135921201 is 219399.

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

48135921201 is a `hidden beast` number, since 4 + 81 + 359 + 21 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37042776225 + 11093144976 = 192465^2 + 105324^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 48135921201 - 2⁹ = 48135920689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48135921221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 621631 + ... + 694763.

Almost surely, 2^48135921201 is an apocalyptic number.

48135921201 is the 219399-th square number.

48135921201 is the 109700-th centered octagonal number.

It is an amenable number.

48135921201 is a deficient number, since it is larger than the sum of its proper divisors (21394693498).

48135921201 is an frugal number, since it uses more digits than its factorization.

48135921201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146272 (or 73136 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 48135921201 by its sum of digits (36), we get a square (1732893163236 = 1316394²).

The spelling of 48135921201 in words is "forty-eight billion, one hundred thirty-five million, nine hundred twenty-one thousand, two hundred one".