88301961216 has 272 divisors, whose sum is σ = 299051593600. Its totient is φ = 25225592832.

The previous prime is 88301961193. The next prime is 88301961229. The reversal of 88301961216 is 61216910388.

88301961216 is a `hidden beast` number, since 8 + 8 + 3 + 0 + 19 + 612 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12382740 + ... + 12389868.

Almost surely, 2^88301961216 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 88301961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149525796800).

88301961216 is an abundant number, since it is smaller than the sum of its proper divisors (210749632384).

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

88301961216 is an frugal number, since it uses more digits than its factorization.

88301961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 88301961216 in words is "eighty-eight billion, three hundred one million, nine hundred sixty-one thousand, two hundred sixteen".