81850348192140 has 288 divisors, whose sum is σ = 271552826039040. Its totient is φ = 19791057369600.

The previous prime is 81850348192061. The next prime is 81850348192147. The reversal of 81850348192140 is 4129184305818.

81850348192140 is a `hidden beast` number, since 8 + 1 + 8 + 503 + 4 + 8 + 1 + 92 + 1 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (81850348192147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6526614270 + ... + 6526626810.

It is an arithmetic number, because the mean of its divisors is an integer number (942891757080).

Almost surely, 2^{81850348192140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81850348192140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135776413019520).

81850348192140 is an abundant number, since it is smaller than the sum of its proper divisors (189702477846900).

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

81850348192140 is a wasteful number, since it uses less digits than its factorization.

81850348192140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20853 (or 20848 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 81850348192140 in words is "eighty-one trillion, eight hundred fifty billion, three hundred forty-eight million, one hundred ninety-two thousand, one hundred forty".