184468346540064 has 144 divisors (see below), whose sum is σ = 526379539959000. Its totient is φ = 61278929215488.

The previous prime is 184468346540059. The next prime is 184468346540089. The reversal of 184468346540064 is 460045643864481.

184468346540064 is a `hidden beast` number, since 1 + 8 + 4 + 4 + 6 + 83 + 4 + 6 + 540 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178941239579664 + 5527106960400 = 13376892^2 + 2350980^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 184468346539983 and 184468346540010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179303032 + ... + 180328904.

Almost surely, 2^{184468346540064} 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 184468346540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263189769979500).

184468346540064 is an abundant number, since it is smaller than the sum of its proper divisors (341911193418936).

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

184468346540064 is a wasteful number, since it uses less digits than its factorization.

184468346540064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028027 (or 1028016 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 63.

The spelling of 184468346540064 in words is "one hundred eighty-four trillion, four hundred sixty-eight billion, three hundred forty-six million, five hundred forty thousand, sixty-four".