361791360000 has 1100 divisors, whose sum is σ = 1544453279248. Its totient is φ = 82612224000.

The previous prime is 361791359999. The next prime is 361791360101. The reversal of 361791360000 is 63197163.

361791360000 is a `hidden beast` number, since 3 + 617 + 9 + 1 + 36 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 362879502 + ... + 362880498.

Almost surely, 2^361791360000 is an apocalyptic number.

361791360000 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 361791360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772226639624).

361791360000 is an abundant number, since it is smaller than the sum of its proper divisors (1182661919248).

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

361791360000 is an frugal number, since it uses more digits than its factorization.

361791360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 361791360000 in words is "three hundred sixty-one billion, seven hundred ninety-one million, three hundred sixty thousand".