361228584960 has 480 divisors, whose sum is σ = 1299199781880. Its totient is φ = 95997394944.

The previous prime is 361228584919. The next prime is 361228584971. The reversal of 361228584960 is 69485822163.

361228584960 is a `hidden beast` number, since 36 + 1 + 2 + 28 + 584 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 281731654656 + 79496930304 = 530784^2 + 281952^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 361228584897 and 361228584906.

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, 329287132 + ... + 329288228.

Almost surely, 2^361228584960 is an apocalyptic number.

361228584960 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 361228584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649599890940).

361228584960 is an abundant number, since it is smaller than the sum of its proper divisors (937971196920).

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

361228584960 is a wasteful number, since it uses less digits than its factorization.

361228584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 361228584960 in words is "three hundred sixty-one billion, two hundred twenty-eight million, five hundred eighty-four thousand, nine hundred sixty".