361091094912 has 192 divisors, whose sum is σ = 1079912433600. Its totient is φ = 120101128704.

The previous prime is 361091094901. The next prime is 361091094913. The reversal of 361091094912 is 219490190163.

361091094912 is a `hidden beast` number, since 3 + 610 + 9 + 10 + 9 + 4 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361091094913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14513139 + ... + 14537997.

It is an arithmetic number, because the mean of its divisors is an integer number (5624543925).

Almost surely, 2^361091094912 is an apocalyptic number.

361091094912 is a gapful number since it is divisible by the number (32) 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 361091094912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539956216800).

361091094912 is an abundant number, since it is smaller than the sum of its proper divisors (718821338688).

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

361091094912 is an equidigital number, since it uses as much as digits as its factorization.

361091094912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25355 (or 25331 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 361091094912 in words is "three hundred sixty-one billion, ninety-one million, ninety-four thousand, nine hundred twelve".