2232128729344 has 72 divisors (see below), whose sum is σ = 4480206763032. Its totient is φ = 1109902295040.

The previous prime is 2232128729309. The next prime is 2232128729357. The reversal of 2232128729344 is 4439278212322.

It can be written as a sum of positive squares in 4 ways, for example, as 552512729344 + 1679616000000 = 743312^2 + 1296000^2 .

It is a super-3 number, since 3×2232128729344³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33674154 + ... + 33740374.

It is an arithmetic number, because the mean of its divisors is an integer number (62225093931).

Almost surely, 2^{2232128729344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232128729344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240103381516).

2232128729344 is an abundant number, since it is smaller than the sum of its proper divisors (2248078033688).

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

2232128729344 is an equidigital number, since it uses as much as digits as its factorization.

2232128729344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66963 (or 66949 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 49.

The spelling of 2232128729344 in words is "two trillion, two hundred thirty-two billion, one hundred twenty-eight million, seven hundred twenty-nine thousand, three hundred forty-four".