88017341285664 has 288 divisors, whose sum is σ = 295411069699200. Its totient is φ = 24844823797248.

The previous prime is 88017341285663. The next prime is 88017341285729. The reversal of 88017341285664 is 46658214371088.

88017341285664 is a `hidden beast` number, since 8 + 8 + 0 + 1 + 7 + 3 + 41 + 28 + 566 + 4 = 666.

88017341285664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (88017341285663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2831554 + ... + 13566590.

It is an arithmetic number, because the mean of its divisors is an integer number (1025732880900).

Almost surely, 2^{88017341285664} is an apocalyptic number.

88017341285664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88017341285664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147705534849600).

88017341285664 is an abundant number, since it is smaller than the sum of its proper divisors (207393728413536).

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

88017341285664 is a wasteful number, since it uses less digits than its factorization.

88017341285664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735157 (or 10735132 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 88017341285664 in words is "eighty-eight trillion, seventeen billion, three hundred forty-one million, two hundred eighty-five thousand, six hundred sixty-four".