87145624448 has 64 divisors (see below), whose sum is σ = 174462595200. Its totient is φ = 43359493632.

The previous prime is 87145624441. The next prime is 87145624537. The reversal of 87145624448 is 84442654178.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 87145624448.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25134011 + ... + 25137477.

It is an arithmetic number, because the mean of its divisors is an integer number (2725978050).

Almost surely, 2^87145624448 is an apocalyptic number.

It is an amenable number.

87145624448 is an abundant number, since it is smaller than the sum of its proper divisors (87316970752).

87145624448 is a wasteful number, since it uses less digits than its factorization.

87145624448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4375 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 53.

The spelling of 87145624448 in words is "eighty-seven billion, one hundred forty-five million, six hundred twenty-four thousand, four hundred forty-eight".