104587785951489 has 27 divisors (see below), whose sum is σ = 156874951017187. Its totient is φ = 69724638386208.

The previous prime is 104587785951463. The next prime is 104587785951491. The reversal of 104587785951489 is 984159587785401.

The square root of 104587785951489 is 10226817.

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

104587785951489 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 8 + 7 + 7 + 8 + 595 + 14 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79988249268225 + 24599536683264 = 8943615^2 + 4959792^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 104587785951489 - 2²⁹ = 104587249080577 is a prime.

It is a super-2 number, since 2×104587785951489² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104587785951449) 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, 828309049 + ... + 828435305.

Almost surely, 2^{104587785951489} is an apocalyptic number.

104587785951489 is the 10226817-th square number.

104587785951489 is the 5113409-th centered octagonal number.

It is an amenable number.

104587785951489 is a deficient number, since it is larger than the sum of its proper divisors (52287165065698).

104587785951489 is an frugal number, since it uses more digits than its factorization.

104587785951489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252538 (or 126260 counting only the distinct ones).

The product of its (nonzero) digits is 4064256000, while the sum is 81.

104587785951489 divided by its sum of digits (81) gives a square (1291207233969 = 1136313²).

The spelling of 104587785951489 in words is "one hundred four trillion, five hundred eighty-seven billion, seven hundred eighty-five million, nine hundred fifty-one thousand, four hundred eighty-nine".