92444379040000 has 675 divisors, whose sum is σ = 255632465264253. Its totient is φ = 33339511296000.

The previous prime is 92444379039989. The next prime is 92444379040051. The reversal of 92444379040000 is 4097344429.

The square root of 92444379040000 is 9614800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 91310102919424 + 1134276120576 = 9555632^2 + 1065024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2149869279979 + ... + 2149869280021.

Almost surely, 2^{92444379040000} is an apocalyptic number.

92444379040000 is the 9614800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92444379040000

92444379040000 is an abundant number, since it is smaller than the sum of its proper divisors (163188086224253).

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

92444379040000 is an frugal number, since it uses more digits than its factorization.

92444379040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 92444379040000 in words is "ninety-two trillion, four hundred forty-four billion, three hundred seventy-nine million, forty thousand".