87145624449 has 12 divisors (see below), whose sum is σ = 135559860436. Its totient is φ = 53628076512.

The previous prime is 87145624441. The next prime is 87145624537. The reversal of 87145624449 is 94442654178.

87145624449 is a `hidden beast` number, since 8 + 7 + 1 + 4 + 5 + 624 + 4 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32486457600 + 54659166849 = 180240^2 + 233793^2 .

It is not a de Polignac number, because 87145624449 - 2³ = 87145624441 is a prime.

It is a super-2 number, since 2×87145624449² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87145624395 and 87145624404.

It is not an unprimeable number, because it can be changed into a prime (87145624441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372417082 + ... + 372417315.

Almost surely, 2^87145624449 is an apocalyptic number.

It is an amenable number.

87145624449 is a deficient number, since it is larger than the sum of its proper divisors (48414235987).

87145624449 is a wasteful number, since it uses less digits than its factorization.

87145624449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744834416 (or 744834413 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 87145624449 in words is "eighty-seven billion, one hundred forty-five million, six hundred twenty-four thousand, four hundred forty-nine".