104501387198464 has 189 divisors, whose sum is σ = 213602184058557. Its totient is φ = 51125390671872.

The previous prime is 104501387198459. The next prime is 104501387198471. The reversal of 104501387198464 is 464891783105401.

It is a happy number.

The square root of 104501387198464 is 10222592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12243056984064 + 92258330214400 = 3499008^2 + 9605120^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 701351591862 + ... + 701351592010.

Almost surely, 2^{104501387198464} is an apocalyptic number.

104501387198464 is the 10222592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104501387198464

104501387198464 is an abundant number, since it is smaller than the sum of its proper divisors (109100796860093).

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

104501387198464 is an frugal number, since it uses more digits than its factorization.

104501387198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 104501387198464 in words is "one hundred four trillion, five hundred one billion, three hundred eighty-seven million, one hundred ninety-eight thousand, four hundred sixty-four".