101761536068448 has 96 divisors (see below), whose sum is σ = 285379956167040. Its totient is φ = 31655591700480.

The previous prime is 101761536068417. The next prime is 101761536068497. The reversal of 101761536068448 is 844860635167101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101761536068448² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101761536068391 and 101761536068400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416223433 + ... + 416467848.

It is an arithmetic number, because the mean of its divisors is an integer number (2972707876740).

Almost surely, 2^{101761536068448} is an apocalyptic number.

It is an amenable number.

101761536068448 is an abundant number, since it is smaller than the sum of its proper divisors (183618420098592).

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

101761536068448 is a wasteful number, since it uses less digits than its factorization.

101761536068448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832691380 (or 832691372 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 101761536068448 in words is "one hundred one trillion, seven hundred sixty-one billion, five hundred thirty-six million, sixty-eight thousand, four hundred forty-eight".