104818746240 has 384 divisors, whose sum is σ = 391492483200. Its totient is φ = 25689194496.

The previous prime is 104818746211. The next prime is 104818746247. The reversal of 104818746240 is 42647818401.

104818746240 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 18 + 7 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104818746247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17893392 + ... + 17899248.

It is an arithmetic number, because the mean of its divisors is an integer number (1019511675).

Almost surely, 2^104818746240 is an apocalyptic number.

104818746240 is a gapful number since it is divisible by the number (10) 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 104818746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195746241600).

104818746240 is an abundant number, since it is smaller than the sum of its proper divisors (286673736960).

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

104818746240 is a wasteful number, since it uses less digits than its factorization.

104818746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 104818746240 in words is "one hundred four billion, eight hundred eighteen million, seven hundred forty-six thousand, two hundred forty".