365666181120000 has 4080 divisors, whose sum is σ = 1529207370250560. Its totient is φ = 83575701504000.

The previous prime is 365666181119959. The next prime is 365666181120049. The reversal of 365666181120000 is 21181666563.

It is a tau number, because it is divible by the number of its divisors (4080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4405616639959 + ... + 4405616640041.

Almost surely, 2^{365666181120000} is an apocalyptic number.

365666181120000 is a gapful number since it is divisible by the number (30) 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 365666181120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764603685125280).

365666181120000 is an abundant number, since it is smaller than the sum of its proper divisors (1163541189130560).

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

365666181120000 is an equidigital number, since it uses as much as digits as its factorization.

365666181120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 365666181120000 in words is "three hundred sixty-five trillion, six hundred sixty-six billion, one hundred eighty-one million, one hundred twenty thousand".