1000181145600 has 2016 divisors, whose sum is σ = 4525514098560. Its totient is φ = 205541867520.

The previous prime is 1000181145599. The next prime is 1000181145611. The reversal of 1000181145600 is 65411810001.

1000181145600 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 8 + 11 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11237990356 + ... + 11237990444.

It is an arithmetic number, because the mean of its divisors is an integer number (2244798660).

Almost surely, 2^{1000181145600} is an apocalyptic number.

1000181145600 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 1000181145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262757049280).

1000181145600 is an abundant number, since it is smaller than the sum of its proper divisors (3525332952960).

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

1000181145600 is a wasteful number, since it uses less digits than its factorization.

1000181145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 1000181145600 its reverse (65411810001), we get a palindrome (1065592955601).

The spelling of 1000181145600 in words is "one trillion, one hundred eighty-one million, one hundred forty-five thousand, six hundred".