48653291344032 has 72 divisors (see below), whose sum is σ = 138366651395700. Its totient is φ = 16216725934080.

The previous prime is 48653291344027. The next prime is 48653291344043. The reversal of 48653291344032 is 23044319235684.

48653291344032 is a `hidden beast` number, since 4 + 8 + 6 + 5 + 3 + 291 + 344 + 0 + 3 + 2 = 666.

48653291344032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48065989825296 + 587301518736 = 6932964^2 + 766356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 48653291344032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 890719 + ... + 9904542.

Almost surely, 2^{48653291344032} is an apocalyptic number.

It is an amenable number.

48653291344032 is an abundant number, since it is smaller than the sum of its proper divisors (89713360051668).

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

48653291344032 is a wasteful number, since it uses less digits than its factorization.

48653291344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810926 (or 10810915 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 48653291344032 in words is "forty-eight trillion, six hundred fifty-three billion, two hundred ninety-one million, three hundred forty-four thousand, thirty-two".