361846390648392 has 192 divisors, whose sum is σ = 1056357591394560. Its totient is φ = 111234809088000.

The previous prime is 361846390648349. The next prime is 361846390648411. The reversal of 361846390648392 is 293846093648163.

361846390648392 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 463 + 90 + 6 + 48 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 361846390648392.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8646042267 + ... + 8646084117.

It is an arithmetic number, because the mean of its divisors is an integer number (5501862455180).

Almost surely, 2^{361846390648392} 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 361846390648392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528178795697280).

361846390648392 is an abundant number, since it is smaller than the sum of its proper divisors (694511200746168).

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

361846390648392 is a wasteful number, since it uses less digits than its factorization.

361846390648392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50164 (or 50157 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 361846390648392 in words is "three hundred sixty-one trillion, eight hundred forty-six billion, three hundred ninety million, six hundred forty-eight thousand, three hundred ninety-two".