361506513546 has 96 divisors (see below), whose sum is σ = 836700733440. Its totient is φ = 112532045472.

The previous prime is 361506513541. The next prime is 361506513553. The reversal of 361506513546 is 645315605163.

It is a happy number.

361506513546 is a `hidden beast` number, since 3 + 6 + 1 + 50 + 6 + 51 + 3 + 546 = 666.

It is not an unprimeable number, because it can be changed into a prime (361506513541) 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 47 ways as a sum of consecutive naturals, for example, 70617975 + ... + 70623093.

It is an arithmetic number, because the mean of its divisors is an integer number (8715632640).

Almost surely, 2^361506513546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361506513546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418350366720).

361506513546 is an abundant number, since it is smaller than the sum of its proper divisors (475194219894).

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

361506513546 is a wasteful number, since it uses less digits than its factorization.

361506513546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 361506513546 in words is "three hundred sixty-one billion, five hundred six million, five hundred thirteen thousand, five hundred forty-six".