363560046048 has 144 divisors (see below), whose sum is σ = 1085489430480. Its totient is φ = 115261267968.

The previous prime is 363560045971. The next prime is 363560046049. The reversal of 363560046048 is 840640065363.

363560046048 is a `hidden beast` number, since 3 + 6 + 3 + 560 + 0 + 46 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 363560045994 and 363560046012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363560046049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234736 + ... + 884432.

It is an arithmetic number, because the mean of its divisors is an integer number (7538121045).

Almost surely, 2^363560046048 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 363560046048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542744715240).

363560046048 is an abundant number, since it is smaller than the sum of its proper divisors (721929384432).

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

363560046048 is a wasteful number, since it uses less digits than its factorization.

363560046048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649809 (or 649798 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 363560046048 in words is "three hundred sixty-three billion, five hundred sixty million, forty-six thousand, forty-eight".