88434766743488 has 112 divisors (see below), whose sum is σ = 201555399824640. Its totient is φ = 38074704537600.

The previous prime is 88434766743487. The next prime is 88434766743493.

88434766743488 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×88434766743488² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88434766743487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69904733 + ... + 71158563.

Almost surely, 2^{88434766743488} is an apocalyptic number.

88434766743488 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 88434766743488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100777699912320).

88434766743488 is an abundant number, since it is smaller than the sum of its proper divisors (113120633081152).

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

88434766743488 is a wasteful number, since it uses less digits than its factorization.

88434766743488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259146 (or 1259136 counting only the distinct ones).

The product of its digits is 16647192576, while the sum is 80.

The spelling of 88434766743488 in words is "eighty-eight trillion, four hundred thirty-four billion, seven hundred sixty-six million, seven hundred forty-three thousand, four hundred eighty-eight".