101673363612096 has 168 divisors, whose sum is σ = 293839304997888. Its totient is φ = 33611814720000.

The previous prime is 101673363612031. The next prime is 101673363612109. The reversal of 101673363612096 is 690216363376101.

101673363612096 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 73 + 3 + 6 + 361 + 209 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35019271 + ... + 37811321.

Almost surely, 2^{101673363612096} is an apocalyptic number.

101673363612096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101673363612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146919652498944).

101673363612096 is an abundant number, since it is smaller than the sum of its proper divisors (192165941385792).

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

101673363612096 is a wasteful number, since it uses less digits than its factorization.

101673363612096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792591 (or 2792578 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 101673363612096 in words is "one hundred one trillion, six hundred seventy-three billion, three hundred sixty-three million, six hundred twelve thousand, ninety-six".