104826280464 has 640 divisors, whose sum is σ = 354834432000. Its totient is φ = 29386063872.

The previous prime is 104826280463. The next prime is 104826280477. The reversal of 104826280464 is 464082628401.

104826280464 is a `hidden beast` number, since 10 + 4 + 8 + 2 + 628 + 0 + 4 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (104826280463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 285630009 + ... + 285630375.

It is an arithmetic number, because the mean of its divisors is an integer number (554428800).

Almost surely, 2^104826280464 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 104826280464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177417216000).

104826280464 is an abundant number, since it is smaller than the sum of its proper divisors (250008151536).

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

104826280464 is a wasteful number, since it uses less digits than its factorization.

104826280464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 104826280464 in words is "one hundred four billion, eight hundred twenty-six million, two hundred eighty thousand, four hundred sixty-four".