361104336144 has 200 divisors, whose sum is σ = 1147982447040. Its totient is φ = 109074822912.

The previous prime is 361104336097. The next prime is 361104336179. The reversal of 361104336144 is 441633401163.

361104336144 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 0 + 4 + 33 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 361104336099 and 361104336108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 247554 + ... + 885150.

Almost surely, 2^361104336144 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 361104336144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573991223520).

361104336144 is an abundant number, since it is smaller than the sum of its proper divisors (786878110896).

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

361104336144 is a wasteful number, since it uses less digits than its factorization.

361104336144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637659 (or 637644 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 361104336144 in words is "three hundred sixty-one billion, one hundred four million, three hundred thirty-six thousand, one hundred forty-four".