88216486848 has 336 divisors, whose sum is σ = 309942097920. Its totient is φ = 23426537472.

The previous prime is 88216486823. The next prime is 88216486859. The reversal of 88216486848 is 84868461288.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4049361 + ... + 4071087.

It is an arithmetic number, because the mean of its divisors is an integer number (922446720).

Almost surely, 2^88216486848 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 88216486848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154971048960).

88216486848 is an abundant number, since it is smaller than the sum of its proper divisors (221725611072).

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

88216486848 is a wasteful number, since it uses less digits than its factorization.

88216486848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21824 (or 21811 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 63.

The spelling of 88216486848 in words is "eighty-eight billion, two hundred sixteen million, four hundred eighty-six thousand, eight hundred forty-eight".