48996265201 has 9 divisors (see below), whose sum is σ = 53058243531. Its totient is φ = 45224665512.

The previous prime is 48996265183. The next prime is 48996265211. The reversal of 48996265201 is 10256269984.

The square root of 48996265201 is 221351.

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

It can be written as a sum of positive squares in only one way, i.e., 7247968225 + 41748296976 = 85135^2 + 204324^2 .

It is not a de Polignac number, because 48996265201 - 2¹⁵ = 48996232433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48996265211) 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, 2869050 + ... + 2886076.

Almost surely, 2^48996265201 is an apocalyptic number.

48996265201 is the 221351-st square number.

48996265201 is the 110676-th centered octagonal number.

It is an amenable number.

48996265201 is a deficient number, since it is larger than the sum of its proper divisors (4061978330).

48996265201 is an frugal number, since it uses more digits than its factorization.

48996265201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34080 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 48996265201 in words is "forty-eight billion, nine hundred ninety-six million, two hundred sixty-five thousand, two hundred one".