363106046240 has 192 divisors, whose sum is σ = 990305326080. Its totient is φ = 123240284160.

The previous prime is 363106046231. The next prime is 363106046267. The reversal of 363106046240 is 42640601363.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 363106046240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46304720 + ... + 46312560.

It is an arithmetic number, because the mean of its divisors is an integer number (5157840240).

Almost surely, 2^363106046240 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 363106046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495152663040).

363106046240 is an abundant number, since it is smaller than the sum of its proper divisors (627199279840).

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

363106046240 is a wasteful number, since it uses less digits than its factorization.

363106046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 363106046240 in words is "three hundred sixty-three billion, one hundred six million, forty-six thousand, two hundred forty".