88232144000 has 768 divisors, whose sum is σ = 300175424640. Its totient is φ = 25353216000.

The previous prime is 88232143927. The next prime is 88232144059. The reversal of 88232144000 is 44123288.

It is a super-2 number, since 2×88232144000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112111607 + ... + 112112393.

Almost surely, 2^88232144000 is an apocalyptic number.

88232144000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88232144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150087712320).

88232144000 is an abundant number, since it is smaller than the sum of its proper divisors (211943280640).

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

88232144000 is a wasteful number, since it uses less digits than its factorization.

88232144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 88232144000 its reverse (44123288), we get a palindrome (88276267288).

It can be divided in two parts, 88232 and 144000, that added together give a palindrome (232232).

The spelling of 88232144000 in words is "eighty-eight billion, two hundred thirty-two million, one hundred forty-four thousand".