84483438048000 has 720 divisors, whose sum is σ = 314881247064384. Its totient is φ = 22493649715200.

The previous prime is 84483438047999. The next prime is 84483438048089. The reversal of 84483438048000 is 84083438448.

It is a happy number.

84483438048000 is a `hidden beast` number, since 8 + 4 + 4 + 83 + 4 + 3 + 80 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 1676998812 + ... + 1677049188.

Almost surely, 2^{84483438048000} is an apocalyptic number.

84483438048000 is a gapful number since it is divisible by the number (80) 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 84483438048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157440623532192).

84483438048000 is an abundant number, since it is smaller than the sum of its proper divisors (230397809016384).

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

84483438048000 is an equidigital number, since it uses as much as digits as its factorization.

84483438048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51067 (or 51034 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 84483438048000 in words is "eighty-four trillion, four hundred eighty-three billion, four hundred thirty-eight million, forty-eight thousand".