128347283456 has 168 divisors, whose sum is σ = 306728554944. Its totient is φ = 52601978880.

The previous prime is 128347283431. The next prime is 128347283531. The reversal of 128347283456 is 654382743821.

It is a super-2 number, since 2×128347283456² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 128347283398 and 128347283407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30332861 + ... + 30337091.

It is an arithmetic number, because the mean of its divisors is an integer number (1825765208).

Almost surely, 2^128347283456 is an apocalyptic number.

128347283456 is a gapful number since it is divisible by the number (16) 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 128347283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153364277472).

128347283456 is an abundant number, since it is smaller than the sum of its proper divisors (178381271488).

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

128347283456 is an frugal number, since it uses more digits than its factorization.

128347283456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4263 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 53.

The spelling of 128347283456 in words is "one hundred twenty-eight billion, three hundred forty-seven million, two hundred eighty-three thousand, four hundred fifty-six".