88224099768 has 432 divisors, whose sum is σ = 299113453080. Its totient is φ = 23411711232.

The previous prime is 88224099767. The next prime is 88224099791. The reversal of 88224099768 is 86799042288.

88224099768 is a `hidden beast` number, since 8 + 82 + 2 + 409 + 97 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88224099767) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 67500571 + ... + 67501877.

Almost surely, 2^88224099768 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 88224099768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149556726540).

88224099768 is an abundant number, since it is smaller than the sum of its proper divisors (210889353312).

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

88224099768 is a wasteful number, since it uses less digits than its factorization.

88224099768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 88224099768 in words is "eighty-eight billion, two hundred twenty-four million, ninety-nine thousand, seven hundred sixty-eight".