81946542888000 has 1792 divisors, whose sum is σ = 352605467934720. Its totient is φ = 18241542144000.

The previous prime is 81946542887977. The next prime is 81946542888043. The reversal of 81946542888000 is 88824564918.

81946542888000 is a `hidden beast` number, since 8 + 1 + 9 + 4 + 6 + 542 + 8 + 8 + 80 + 0 + 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 255 ways as a sum of consecutive naturals, for example, 59946263317 + ... + 59946264683.

It is an arithmetic number, because the mean of its divisors is an integer number (196766444160).

Almost surely, 2^{81946542888000} is an apocalyptic number.

81946542888000 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 81946542888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176302733967360).

81946542888000 is an abundant number, since it is smaller than the sum of its proper divisors (270658925046720).

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

81946542888000 is a wasteful number, since it uses less digits than its factorization.

81946542888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 81946542888000 in words is "eighty-one trillion, nine hundred forty-six billion, five hundred forty-two million, eight hundred eighty-eight thousand".