88434344343488 has 224 divisors, whose sum is σ = 208258669080000. Its totient is φ = 36729421332480.

The previous prime is 88434344343469. The next prime is 88434344343511.

88434344343488 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×88434344343488² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046406578 + ... + 1046491086.

It is an arithmetic number, because the mean of its divisors is an integer number (929726201250).

Almost surely, 2^{88434344343488} is an apocalyptic number.

88434344343488 is a gapful number since it is divisible by the number (88) 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 88434344343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104129334540000).

88434344343488 is an abundant number, since it is smaller than the sum of its proper divisors (119824324736512).

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

88434344343488 is a wasteful number, since it uses less digits than its factorization.

88434344343488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85703 (or 85693 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 68.

The spelling of 88434344343488 in words is "eighty-eight trillion, four hundred thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, four hundred eighty-eight".