361048868121600 has 1584 divisors, whose sum is σ = 1449319704268800. Its totient is φ = 88746072145920.

The previous prime is 361048868121589. The next prime is 361048868121649. The reversal of 361048868121600 is 6121868840163.

361048868121600 is a `hidden beast` number, since 3 + 6 + 1 + 0 + 4 + 8 + 8 + 6 + 8 + 1 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4373181121 + ... + 4373263679.

Almost surely, 2^{361048868121600} is an apocalyptic number.

361048868121600 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 361048868121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724659852134400).

361048868121600 is an abundant number, since it is smaller than the sum of its proper divisors (1088270836147200).

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

361048868121600 is a wasteful number, since it uses less digits than its factorization.

361048868121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82660 (or 82625 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 361048868121600 in words is "three hundred sixty-one trillion, forty-eight billion, eight hundred sixty-eight million, one hundred twenty-one thousand, six hundred".