361646348800 has 360 divisors, whose sum is σ = 994867761888. Its totient is φ = 130173542400.

The previous prime is 361646348731. The next prime is 361646348801. The reversal of 361646348800 is 8843646163.

It is a super-2 number, since 2×361646348800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (361646348801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159525267 + ... + 159527533.

Almost surely, 2^361646348800 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 361646348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497433880944).

361646348800 is an abundant number, since it is smaller than the sum of its proper divisors (633221413088).

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

361646348800 is a wasteful number, since it uses less digits than its factorization.

361646348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 361646348800 in words is "three hundred sixty-one billion, six hundred forty-six million, three hundred forty-eight thousand, eight hundred".