87944811648 has 128 divisors (see below), whose sum is σ = 249455116800. Its totient is φ = 27390935040.

The previous prime is 87944811623. The next prime is 87944811659. The reversal of 87944811648 is 84611844978.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 87944811591 and 87944811600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217840 + ... + 472592.

It is an arithmetic number, because the mean of its divisors is an integer number (1948868100).

Almost surely, 2^87944811648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87944811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124727558400).

87944811648 is an abundant number, since it is smaller than the sum of its proper divisors (161510305152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87944811648 is a wasteful number, since it uses less digits than its factorization.

87944811648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254830 (or 254818 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The spelling of 87944811648 in words is "eighty-seven billion, nine hundred forty-four million, eight hundred eleven thousand, six hundred forty-eight".