361283796000 has 1152 divisors, whose sum is σ = 1421798676480. Its totient is φ = 86482944000.

The previous prime is 361283795959. The next prime is 361283796001. The reversal of 361283796000 is 697382163.

361283796000 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 8 + 37 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (361283796001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2599163931 + ... + 2599164069.

It is an arithmetic number, because the mean of its divisors is an integer number (1234200240).

Almost surely, 2^361283796000 is an apocalyptic number.

361283796000 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 361283796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710899338240).

361283796000 is an abundant number, since it is smaller than the sum of its proper divisors (1060514880480).

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

361283796000 is a wasteful number, since it uses less digits than its factorization.

361283796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 361283796000 in words is "three hundred sixty-one billion, two hundred eighty-three million, seven hundred ninety-six thousand".