48384778751460 has 36 divisors (see below), whose sum is σ = 146767162213308. Its totient is φ = 12902607667008.

The previous prime is 48384778751447. The next prime is 48384778751467. The reversal of 48384778751460 is 6415787748384.

48384778751460 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 47 + 7 + 8 + 7 + 514 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19359665601444 + 29025113150016 = 4399962^2 + 5387496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (48384778751467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134402163019 + ... + 134402163378.

Almost surely, 2^{48384778751460} is an apocalyptic number.

It is an amenable number.

48384778751460 is an abundant number, since it is smaller than the sum of its proper divisors (98382383461848).

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

48384778751460 is a wasteful number, since it uses less digits than its factorization.

48384778751460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268804326412 (or 268804326407 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 48384778751460 in words is "forty-eight trillion, three hundred eighty-four billion, seven hundred seventy-eight million, seven hundred fifty-one thousand, four hundred sixty".