81837341000 has 64 divisors (see below), whose sum is σ = 191661640560. Its totient is φ = 32707200000.

The previous prime is 81837340979. The next prime is 81837341021. The reversal of 81837341000 is 14373818.

It is an interprime number because it is at equal distance from previous prime (81837340979) and next prime (81837341021).

It can be written as a sum of positive squares in 8 ways, for example, as 22748482276 + 59088858724 = 150826^2 + 243082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166930 + ... + 1235070.

Almost surely, 2^81837341000 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 81837341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95830820280).

81837341000 is an abundant number, since it is smaller than the sum of its proper divisors (109824299560).

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

81837341000 is a wasteful number, since it uses less digits than its factorization.

81837341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69363 (or 69349 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 81837341000 in words is "eighty-one billion, eight hundred thirty-seven million, three hundred forty-one thousand".