92382427348992 has 1368 divisors, whose sum is σ = 319476758084640. Its totient is φ = 26418075402240.

The previous prime is 92382427348987. The next prime is 92382427349041. The reversal of 92382427348992 is 29984372428329.

92382427348992 is a `hidden beast` number, since 9 + 2 + 3 + 8 + 2 + 427 + 34 + 89 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1368).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 92382427348992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359464697728 + ... + 359464697984.

Almost surely, 2^{92382427348992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92382427348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159738379042320).

92382427348992 is an abundant number, since it is smaller than the sum of its proper divisors (227094330735648).

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

92382427348992 is an frugal number, since it uses more digits than its factorization.

92382427348992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 292 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 92382427348992 in words is "ninety-two trillion, three hundred eighty-two billion, four hundred twenty-seven million, three hundred forty-eight thousand, nine hundred ninety-two".