361683476064 has 144 divisors (see below), whose sum is σ = 1094685136272. Its totient is φ = 112881106944.

The previous prime is 361683475991. The next prime is 361683476111. The reversal of 361683476064 is 460674386163.

361683476064 is a `hidden beast` number, since 3 + 6 + 168 + 3 + 476 + 0 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 361683476064.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 753547 + ... + 1136309.

It is an arithmetic number, because the mean of its divisors is an integer number (7601980113).

Almost surely, 2^361683476064 is an apocalyptic number.

361683476064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361683476064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547342568136).

361683476064 is an abundant number, since it is smaller than the sum of its proper divisors (733001660208).

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

361683476064 is a wasteful number, since it uses less digits than its factorization.

361683476064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382989 (or 382978 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 361683476064 in words is "three hundred sixty-one billion, six hundred eighty-three million, four hundred seventy-six thousand, sixty-four".