104857449489 has 135 divisors (see below), whose sum is σ = 180973463307. Its totient is φ = 58473578592.

The previous prime is 104857449427. The next prime is 104857449511. The reversal of 104857449489 is 984944758401.

The square root of 104857449489 is 323817.

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

104857449489 is a `hidden beast` number, since 1 + 0 + 4 + 85 + 74 + 4 + 9 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15511457025 + 89345992464 = 124545^2 + 298908^2 .

It is not a de Polignac number, because 104857449489 - 2⁹ = 104857448977 is a prime.

It is a super-2 number, since 2×104857449489² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104857469489) 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 134 ways as a sum of consecutive naturals, for example, 4559019532 + ... + 4559019554.

Almost surely, 2^104857449489 is an apocalyptic number.

104857449489 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

104857449489 is the 323817-th square number.

104857449489 is the 161909-th centered octagonal number.

It is an amenable number.

104857449489 is a deficient number, since it is larger than the sum of its proper divisors (76116013818).

104857449489 is an frugal number, since it uses more digits than its factorization.

104857449489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 104857449489 in words is "one hundred four billion, eight hundred fifty-seven million, four hundred forty-nine thousand, four hundred eighty-nine".