181876842000 has 480 divisors, whose sum is σ = 742888523520. Its totient is φ = 40603852800.

The previous prime is 181876841987. The next prime is 181876842019. The reversal of 181876842000 is 248678181.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5401216 + ... + 5434784.

It is an arithmetic number, because the mean of its divisors is an integer number (1547684424).

Almost surely, 2^181876842000 is an apocalyptic number.

181876842000 is a gapful number since it is divisible by the number (10) 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 181876842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371444261760).

181876842000 is an abundant number, since it is smaller than the sum of its proper divisors (561011681520).

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

181876842000 is a wasteful number, since it uses less digits than its factorization.

181876842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33648 (or 33629 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 181876842000 in words is "one hundred eighty-one billion, eight hundred seventy-six million, eight hundred forty-two thousand".