180890736864 has 48 divisors (see below), whose sum is σ = 491211922320. Its totient is φ = 58217707520.

The previous prime is 180890736841. The next prime is 180890736907. The reversal of 180890736864 is 468637098081.

180890736864 is digitally balanced in base 2 and base 7, because in such bases 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 180890736798 and 180890736807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32484777 + ... + 32490344.

It is an arithmetic number, because the mean of its divisors is an integer number (10233581715).

Almost surely, 2^180890736864 is an apocalyptic number.

It is an amenable number.

180890736864 is an abundant number, since it is smaller than the sum of its proper divisors (310321185456).

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

180890736864 is a wasteful number, since it uses less digits than its factorization.

180890736864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64975163 (or 64975155 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 180890736864 in words is "one hundred eighty billion, eight hundred ninety million, seven hundred thirty-six thousand, eight hundred sixty-four".