101648686834304 has 32 divisors (see below), whose sum is σ = 213161308744800. Its totient is φ = 48149377972992.

The previous prime is 101648686834301. The next prime is 101648686834307. The reversal of 101648686834304 is 403438686846101.

It is a happy number.

101648686834304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101648686834301) and next prime (101648686834307).

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (101648686834301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20898165092 + ... + 20898169955.

It is an arithmetic number, because the mean of its divisors is an integer number (6661290898275).

Almost surely, 2^{101648686834304} is an apocalyptic number.

It is an amenable number.

101648686834304 is an abundant number, since it is smaller than the sum of its proper divisors (111512621910496).

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

101648686834304 is an equidigital number, since it uses as much as digits as its factorization.

101648686834304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41796335080 (or 41796335068 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 62.

The spelling of 101648686834304 in words is "one hundred one trillion, six hundred forty-eight billion, six hundred eighty-six million, eight hundred thirty-four thousand, three hundred four".