88532144064 has 336 divisors, whose sum is σ = 317453223360. Its totient is φ = 22965534720.

The previous prime is 88532144047. The next prime is 88532144101. The reversal of 88532144064 is 46044123588.

88532144064 is a `hidden beast` number, since 8 + 8 + 532 + 14 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3183532 + ... + 3211220.

It is an arithmetic number, because the mean of its divisors is an integer number (944801260).

Almost surely, 2^88532144064 is an apocalyptic number.

88532144064 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 88532144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158726611680).

88532144064 is an abundant number, since it is smaller than the sum of its proper divisors (228921079296).

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

88532144064 is a wasteful number, since it uses less digits than its factorization.

88532144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27788 (or 27775 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 88532144064 in words is "eighty-eight billion, five hundred thirty-two million, one hundred forty-four thousand, sixty-four".