88608619584 has 189 divisors, whose sum is σ = 258885132597. Its totient is φ = 28976583168.

The previous prime is 88608619573. The next prime is 88608619601. The reversal of 88608619584 is 48591680688.

The square root of 88608619584 is 297672.

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

88608619584 is a `hidden beast` number, since 8 + 8 + 6 + 0 + 8 + 619 + 5 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25972545600 + 62636073984 = 161160^2 + 250272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 564386034 + ... + 564386190.

Almost surely, 2^88608619584 is an apocalyptic number.

88608619584 is the 297672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88608619584

88608619584 is an abundant number, since it is smaller than the sum of its proper divisors (170276513013).

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

88608619584 is an equidigital number, since it uses as much as digits as its factorization.

88608619584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 88608619584 in words is "eighty-eight billion, six hundred eight million, six hundred nineteen thousand, five hundred eighty-four".