48641121765 has 48 divisors (see below), whose sum is σ = 85900454640. Its totient is φ = 25457510400.

The previous prime is 48641121757. The next prime is 48641121791. The reversal of 48641121765 is 56712114684.

48641121765 is a `hidden beast` number, since 486 + 41 + 121 + 7 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 134583201 + 48506538564 = 11601^2 + 220242^2 .

It is not a de Polignac number, because 48641121765 - 2³ = 48641121757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 48641121765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466231 + ... + 560939.

It is an arithmetic number, because the mean of its divisors is an integer number (1789592805).

Almost surely, 2^48641121765 is an apocalyptic number.

48641121765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48641121765 is a deficient number, since it is larger than the sum of its proper divisors (37259332875).

48641121765 is a wasteful number, since it uses less digits than its factorization.

48641121765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94934 (or 94931 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 48641121765 in words is "forty-eight billion, six hundred forty-one million, one hundred twenty-one thousand, seven hundred sixty-five".