48538951461 has 128 divisors (see below), whose sum is σ = 99161395200. Its totient is φ = 22645889280.

The previous prime is 48538951427. The next prime is 48538951477. The reversal of 48538951461 is 16415983584.

It is a happy number.

48538951461 is a `hidden beast` number, since 4 + 8 + 53 + 89 + 51 + 461 = 666.

It is not a de Polignac number, because 48538951461 - 2⁶ = 48538951397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48538951398 and 48538951407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48538911461) 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 127 ways as a sum of consecutive naturals, for example, 975730 + ... + 1024268.

It is an arithmetic number, because the mean of its divisors is an integer number (774698400).

Almost surely, 2^48538951461 is an apocalyptic number.

It is an amenable number.

48538951461 is an abundant number, since it is smaller than the sum of its proper divisors (50622443739).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48538951461 is a wasteful number, since it uses less digits than its factorization.

48538951461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48616 (or 48610 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

It can be divided in two parts, 48538 and 951461, that added together give a palindrome (999999).

The spelling of 48538951461 in words is "forty-eight billion, five hundred thirty-eight million, nine hundred fifty-one thousand, four hundred sixty-one".