81846045388800 has 4368 divisors, whose sum is σ = 393256918874880. Its totient is φ = 16387080192000.

The previous prime is 81846045388787. The next prime is 81846045388831. The reversal of 81846045388800 is 888354064818.

81846045388800 is a `hidden beast` number, since 8 + 1 + 84 + 60 + 45 + 388 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 166692556555 + ... + 166692557045.

Almost surely, 2^{81846045388800} is an apocalyptic number.

81846045388800 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 81846045388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196628459437440).

81846045388800 is an abundant number, since it is smaller than the sum of its proper divisors (311410873486080).

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

81846045388800 is a wasteful number, since it uses less digits than its factorization.

81846045388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 81846045388800 in words is "eighty-one trillion, eight hundred forty-six billion, forty-five million, three hundred eighty-eight thousand, eight hundred".