104800465441 has 27 divisors (see below), whose sum is σ = 123380624691. Its totient is φ = 88758722304.

The previous prime is 104800465421. The next prime is 104800465453. The reversal of 104800465441 is 144564008401.

The square root of 104800465441 is 323729.

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., 64044931041 + 40755534400 = 253071^2 + 201880^2 .

It is not a de Polignac number, because 104800465441 - 2⁵ = 104800465409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104800465441.

It is not an unprimeable number, because it can be changed into a prime (104800465421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 233408385 + ... + 233408833.

Almost surely, 2^104800465441 is an apocalyptic number.

104800465441 is the 323729-th square number.

104800465441 is the 161865-th centered octagonal number.

It is an amenable number.

104800465441 is a deficient number, since it is larger than the sum of its proper divisors (18580159250).

104800465441 is an frugal number, since it uses more digits than its factorization.

104800465441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 104800465441 in words is "one hundred four billion, eight hundred million, four hundred sixty-five thousand, four hundred forty-one".