128690800224 has 192 divisors, whose sum is σ = 409026433536. Its totient is φ = 34585288704.

The previous prime is 128690800219. The next prime is 128690800237. The reversal of 128690800224 is 422008096821.

It is a Cunningham number, because it is equal to 358735²-1.

It is a super-2 number, since 2×128690800224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36589314 + ... + 36592830.

It is an arithmetic number, because the mean of its divisors is an integer number (2130346008).

Almost surely, 2^128690800224 is an apocalyptic number.

128690800224 is a gapful number since it is divisible by the number (14) 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 128690800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204513216768).

128690800224 is an abundant number, since it is smaller than the sum of its proper divisors (280335633312).

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

128690800224 is a wasteful number, since it uses less digits than its factorization.

128690800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 128690800224 in words is "one hundred twenty-eight billion, six hundred ninety million, eight hundred thousand, two hundred twenty-four".