92441295313920 has 2112 divisors, whose sum is σ = 403176463911936. Its totient is φ = 19102653480960.

The previous prime is 92441295313901. The next prime is 92441295313967. The reversal of 92441295313920 is 2931359214429.

92441295313920 is a `hidden beast` number, since 9 + 2 + 4 + 4 + 12 + 9 + 531 + 3 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14383269747 + ... + 14383276173.

It is an arithmetic number, because the mean of its divisors is an integer number (190897946928).

Almost surely, 2^{92441295313920} is an apocalyptic number.

92441295313920 is a gapful number since it is divisible by the number (90) 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 92441295313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201588231955968).

92441295313920 is an abundant number, since it is smaller than the sum of its proper divisors (310735168598016).

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

92441295313920 is a wasteful number, since it uses less digits than its factorization.

92441295313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 92441295313920 in words is "ninety-two trillion, four hundred forty-one billion, two hundred ninety-five million, three hundred thirteen thousand, nine hundred twenty".