942873449112000 has 5600 divisors, whose sum is σ = 4262171064712704. Its totient is φ = 205521297408000.

The previous prime is 942873449111963. The next prime is 942873449112053. The reversal of 942873449112000 is 211944378249.

942873449112000 is a `hidden beast` number, since 9 + 4 + 2 + 8 + 7 + 344 + 91 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5600).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 799 ways as a sum of consecutive naturals, for example, 5450135543914 + ... + 5450135544086.

Almost surely, 2^{942873449112000} is an apocalyptic number.

942873449112000 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 942873449112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131085532356352).

942873449112000 is an abundant number, since it is smaller than the sum of its proper divisors (3319297615600704).

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

942873449112000 is a wasteful number, since it uses less digits than its factorization.

942873449112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 942873449112000 in words is "nine hundred forty-two trillion, eight hundred seventy-three billion, four hundred forty-nine million, one hundred twelve thousand".