104521458249 has 48 divisors (see below), whose sum is σ = 168515947600. Its totient is φ = 62008063488.

The previous prime is 104521458199. The next prime is 104521458257. The reversal of 104521458249 is 942854125401.

104521458249 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 21 + 4 + 582 + 49 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 127848249 + 104393610000 = 11307^2 + 323100^2 .

It is not a de Polignac number, because 104521458249 - 2¹² = 104521454153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104521458289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361107 + ... + 582615.

Almost surely, 2^104521458249 is an apocalyptic number.

It is an amenable number.

104521458249 is a deficient number, since it is larger than the sum of its proper divisors (63994489351).

104521458249 is a wasteful number, since it uses less digits than its factorization.

104521458249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221674 (or 221671 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 104521458249 in words is "one hundred four billion, five hundred twenty-one million, four hundred fifty-eight thousand, two hundred forty-nine".