84438162681600 has 3456 divisors, whose sum is σ = 361356071731200. Its totient is φ = 16895307939840.

The previous prime is 84438162681599. The next prime is 84438162681619. The reversal of 84438162681600 is 618626183448.

84438162681600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 566699078326 + ... + 566699078474.

Almost surely, 2^{84438162681600} is an apocalyptic number.

84438162681600 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 84438162681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180678035865600).

84438162681600 is an abundant number, since it is smaller than the sum of its proper divisors (276917909049600).

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

84438162681600 is a wasteful number, since it uses less digits than its factorization.

84438162681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 84438162681600 in words is "eighty-four trillion, four hundred thirty-eight billion, one hundred sixty-two million, six hundred eighty-one thousand, six hundred".