88848494289792 has 1152 divisors, whose sum is σ = 287017409952000. Its totient is φ = 27309911187456.

The previous prime is 88848494289781. The next prime is 88848494289809. The reversal of 88848494289792 is 29798249484888.

88848494289792 is a `hidden beast` number, since 8 + 8 + 8 + 4 + 8 + 4 + 9 + 428 + 97 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96679536309 + ... + 96679537227.

It is an arithmetic number, because the mean of its divisors is an integer number (249147057250).

Almost surely, 2^{88848494289792} 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 88848494289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143508704976000).

88848494289792 is an abundant number, since it is smaller than the sum of its proper divisors (198168915662208).

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

88848494289792 is an frugal number, since it uses more digits than its factorization.

88848494289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1099 counting only the distinct ones).

The product of its digits is 42807066624, while the sum is 90.

The spelling of 88848494289792 in words is "eighty-eight trillion, eight hundred forty-eight billion, four hundred ninety-four million, two hundred eighty-nine thousand, seven hundred ninety-two".