360381993061116 has 144 divisors (see below), whose sum is σ = 918768146786784. Its totient is φ = 109886418690048.

The previous prime is 360381993061109. The next prime is 360381993061199. The reversal of 360381993061116 is 611160399183063.

It is a happy number.

It is a super-2 number, since 2×360381993061116² (a number of 30 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 47 ways as a sum of consecutive naturals, for example, 1351246770 + ... + 1351513446.

It is an arithmetic number, because the mean of its divisors is an integer number (6380334352686).

Almost surely, 2^{360381993061116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360381993061116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459384073393392).

360381993061116 is an abundant number, since it is smaller than the sum of its proper divisors (558386153725668).

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

360381993061116 is a wasteful number, since it uses less digits than its factorization.

360381993061116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272720 (or 272705 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The spelling of 360381993061116 in words is "three hundred sixty trillion, three hundred eighty-one billion, nine hundred ninety-three million, sixty-one thousand, one hundred sixteen".