361667409948 has 144 divisors (see below), whose sum is σ = 999896841216. Its totient is φ = 109548616320.

The previous prime is 361667409863. The next prime is 361667409949. The reversal of 361667409948 is 849904766163.

361667409948 is a `hidden beast` number, since 3 + 616 + 6 + 7 + 4 + 0 + 9 + 9 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361667409949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64684633 + ... + 64690223.

It is an arithmetic number, because the mean of its divisors is an integer number (6943728064).

Almost surely, 2^361667409948 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 361667409948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499948420608).

361667409948 is an abundant number, since it is smaller than the sum of its proper divisors (638229431268).

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

361667409948 is a wasteful number, since it uses less digits than its factorization.

361667409948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 361667409948 in words is "three hundred sixty-one billion, six hundred sixty-seven million, four hundred nine thousand, nine hundred forty-eight".