18049531834656 has 1152 divisors, whose sum is σ = 62258886144000. Its totient is φ = 4955764101120.

The previous prime is 18049531834627. The next prime is 18049531834681. The reversal of 18049531834656 is 65643813594081.

It is a happy number.

18049531834656 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 9 + 531 + 8 + 3 + 46 + 56 = 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 = 18049531834593 and 18049531834602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64233209236 + ... + 64233209516.

It is an arithmetic number, because the mean of its divisors is an integer number (54044172000).

Almost surely, 2^{18049531834656} is an apocalyptic number.

18049531834656 is a gapful number since it is divisible by the number (16) 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 18049531834656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31129443072000).

18049531834656 is an abundant number, since it is smaller than the sum of its proper divisors (44209354309344).

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

18049531834656 is a wasteful number, since it uses less digits than its factorization.

18049531834656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 18049531834656 in words is "eighteen trillion, forty-nine billion, five hundred thirty-one million, eight hundred thirty-four thousand, six hundred fifty-six".