48319628049 has 144 divisors (see below), whose sum is σ = 91777201152. Its totient is φ = 23950080000.

The previous prime is 48319627973. The next prime is 48319628053. The reversal of 48319628049 is 94082691384.

48319628049 is a `hidden beast` number, since 4 + 8 + 3 + 1 + 9 + 628 + 0 + 4 + 9 = 666.

It is not a de Polignac number, because 48319628049 - 2⁷ = 48319627921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48319627986 and 48319628004.

It is not an unprimeable number, because it can be changed into a prime (48319623049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17249449 + ... + 17252249.

Almost surely, 2^48319628049 is an apocalyptic number.

It is an amenable number.

48319628049 is a deficient number, since it is larger than the sum of its proper divisors (43457573103).

48319628049 is a wasteful number, since it uses less digits than its factorization.

48319628049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48319628049 in words is "forty-eight billion, three hundred nineteen million, six hundred twenty-eight thousand, forty-nine".