73181369706368 has 128 divisors (see below), whose sum is σ = 181769641367040. Its totient is φ = 28511559014400.

The previous prime is 73181369706349. The next prime is 73181369706397. The reversal of 73181369706368 is 86360796318137.

73181369706368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 73181369706298 and 73181369706307.

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, 800074205 + ... + 800165667.

It is an arithmetic number, because the mean of its divisors is an integer number (1420075323180).

Almost surely, 2^{73181369706368} is an apocalyptic number.

It is an amenable number.

73181369706368 is an abundant number, since it is smaller than the sum of its proper divisors (108588271660672).

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

73181369706368 is a wasteful number, since it uses less digits than its factorization.

73181369706368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172676 (or 172664 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 68.

The spelling of 73181369706368 in words is "seventy-three trillion, one hundred eighty-one billion, three hundred sixty-nine million, seven hundred six thousand, three hundred sixty-eight".