181963143086400 has 2016 divisors, whose sum is σ = 750405765957120. Its totient is φ = 41422136279040.

The previous prime is 181963143086369. The next prime is 181963143086423. The reversal of 181963143086400 is 4680341369181.

181963143086400 is a `hidden beast` number, since 1 + 8 + 1 + 96 + 3 + 1 + 430 + 86 + 40 + 0 = 666.

It is a super-2 number, since 2×181963143086400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47300009277 + ... + 47300013123.

It is an arithmetic number, because the mean of its divisors is an integer number (372225082320).

Almost surely, 2^{181963143086400} is an apocalyptic number.

181963143086400 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 181963143086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375202882978560).

181963143086400 is an abundant number, since it is smaller than the sum of its proper divisors (568442622870720).

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

181963143086400 is a wasteful number, since it uses less digits than its factorization.

181963143086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 181963143086400 in words is "one hundred eighty-one trillion, nine hundred sixty-three billion, one hundred forty-three million, eighty-six thousand, four hundred".