361149811200 has 360 divisors, whose sum is σ = 1360487700000. Its totient is φ = 91237294080.

The previous prime is 361149811153. The next prime is 361149811229. The reversal of 361149811200 is 2118941163.

361149811200 is a `hidden beast` number, since 3 + 611 + 4 + 9 + 8 + 11 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×361149811200² (a number of 24 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2106301 + ... + 2271299.

It is an arithmetic number, because the mean of its divisors is an integer number (3779132500).

Almost surely, 2^361149811200 is an apocalyptic number.

361149811200 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 361149811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680243850000).

361149811200 is an abundant number, since it is smaller than the sum of its proper divisors (999337888800).

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

361149811200 is a wasteful number, since it uses less digits than its factorization.

361149811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165052 (or 165028 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 361149811200 in words is "three hundred sixty-one billion, one hundred forty-nine million, eight hundred eleven thousand, two hundred".