184944469534272 has 448 divisors, whose sum is σ = 627520776960000. Its totient is φ = 52319272495104.

The previous prime is 184944469534267. The next prime is 184944469534313. The reversal of 184944469534272 is 272435964449481.

184944469534272 is a `hidden beast` number, since 1 + 8 + 4 + 9 + 4 + 4 + 4 + 69 + 534 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×184944469534272² (a number of 29 digits) contains 22 as substring.

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 184944469534272.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1881398979 + ... + 1881497277.

It is an arithmetic number, because the mean of its divisors is an integer number (1400716020000).

Almost surely, 2^{184944469534272} is an apocalyptic number.

184944469534272 is a gapful number since it is divisible by the number (12) 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 184944469534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313760388480000).

184944469534272 is an abundant number, since it is smaller than the sum of its proper divisors (442576307425728).

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

184944469534272 is a wasteful number, since it uses less digits than its factorization.

184944469534272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99863 (or 99847 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 184944469534272 in words is "one hundred eighty-four trillion, nine hundred forty-four billion, four hundred sixty-nine million, five hundred thirty-four thousand, two hundred seventy-two".