88809243316416 has 504 divisors, whose sum is σ = 307276309317120. Its totient is φ = 24019954762752.

The previous prime is 88809243316379. The next prime is 88809243316429. The reversal of 88809243316416 is 61461334290888.

88809243316416 is a `hidden beast` number, since 8 + 8 + 80 + 92 + 43 + 3 + 16 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

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 71 ways as a sum of consecutive naturals, for example, 1931494515 + ... + 1931540493.

Almost surely, 2^{88809243316416} 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 88809243316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153638154658560).

88809243316416 is an abundant number, since it is smaller than the sum of its proper divisors (218467066000704).

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

88809243316416 is a wasteful number, since it uses less digits than its factorization.

88809243316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47369 (or 47337 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 88809243316416 in words is "eighty-eight trillion, eight hundred nine billion, two hundred forty-three million, three hundred sixteen thousand, four hundred sixteen".