88344345600 has 1584 divisors, whose sum is σ = 403281926400. Its totient is φ = 18513100800.

The previous prime is 88344345599. The next prime is 88344345601. The reversal of 88344345600 is 654344388.

88344345600 is a `hidden beast` number, since 8 + 8 + 3 + 4 + 4 + 34 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (88344345599) and next prime (88344345601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88344345601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2849817585 + ... + 2849817615.

Almost surely, 2^88344345600 is an apocalyptic number.

88344345600 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 88344345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201640963200).

88344345600 is an abundant number, since it is smaller than the sum of its proper divisors (314937580800).

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

88344345600 is a wasteful number, since it uses less digits than its factorization.

88344345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 88344345600 its reverse (654344388), we get a palindrome (88998689988).

The spelling of 88344345600 in words is "eighty-eight billion, three hundred forty-four million, three hundred forty-five thousand, six hundred".