361618385192064 has 6144 divisors, whose sum is σ = 1609562271744000. Its totient is φ = 79234877030400.

The previous prime is 361618385192047. The next prime is 361618385192069. The reversal of 361618385192064 is 460291583816163.

It is a happy number.

361618385192064 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 1 + 8 + 38 + 519 + 20 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 361618385191992 and 361618385192010.

It is not an unprimeable number, because it can be changed into a prime (361618385192069) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1155330303972 + ... + 1155330304284.

It is an arithmetic number, because the mean of its divisors is an integer number (261973026000).

Almost surely, 2^{361618385192064} 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 361618385192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804781135872000).

361618385192064 is an abundant number, since it is smaller than the sum of its proper divisors (1247943886551936).

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

361618385192064 is a wasteful number, since it uses less digits than its factorization.

361618385192064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 361618385192064 in words is "three hundred sixty-one trillion, six hundred eighteen billion, three hundred eighty-five million, one hundred ninety-two thousand, sixty-four".