81840146000 has 80 divisors (see below), whose sum is σ = 204713393040. Its totient is φ = 31607206400.

The previous prime is 81840145997. The next prime is 81840146027. The reversal of 81840146000 is 64104818.

It can be written as a sum of positive squares in 8 ways, for example, as 9814468624 + 72025677376 = 99068^2 + 268376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647519 + ... + 763518.

It is an arithmetic number, because the mean of its divisors is an integer number (2558917413).

Almost surely, 2^81840146000 is an apocalyptic number.

81840146000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81840146000 is an abundant number, since it is smaller than the sum of its proper divisors (122873247040).

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

81840146000 is a wasteful number, since it uses less digits than its factorization.

81840146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411089 (or 1411073 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 81840146000 in words is "eighty-one billion, eight hundred forty million, one hundred forty-six thousand".