905913241321680 has 120 divisors (see below), whose sum is σ = 3042370693837800. Its totient is φ = 241575906862080.

The previous prime is 905913241321637. The next prime is 905913241321723. The reversal of 905913241321680 is 86123142319509.

905913241321680 is a `hidden beast` number, since 9 + 0 + 5 + 9 + 1 + 3 + 2 + 413 + 216 + 8 + 0 = 666.

905913241321680 is digitally balanced in base 2, 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 (905913241321637) and next prime (905913241321723).

It can be written as a sum of positive squares in 4 ways, for example, as 182641926482064 + 723271314839616 = 13514508^2 + 26893704^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 189555090 + ... + 194275470.

It is an arithmetic number, because the mean of its divisors is an integer number (25353089115315).

Almost surely, 2^{905913241321680} is an apocalyptic number.

905913241321680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

905913241321680 is an abundant number, since it is smaller than the sum of its proper divisors (2136457452516120).

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

905913241321680 is a wasteful number, since it uses less digits than its factorization.

905913241321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986949 (or 4986940 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 905913241321680 in words is "nine hundred five trillion, nine hundred thirteen billion, two hundred forty-one million, three hundred twenty-one thousand, six hundred eighty".