2231665353408 has 224 divisors, whose sum is σ = 6261838835200. Its totient is φ = 699488649216.

The previous prime is 2231665353403. The next prime is 2231665353409. The reversal of 2231665353408 is 8043535661322.

It is a super-3 number, since 3×2231665353408³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2231665353403) by changing a digit.

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, 281523141 + ... + 281531067.

Almost surely, 2^{2231665353408} 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 2231665353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130919417600).

2231665353408 is an abundant number, since it is smaller than the sum of its proper divisors (4030173481792).

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

2231665353408 is a wasteful number, since it uses less digits than its factorization.

2231665353408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8527 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 2231665353408 in words is "two trillion, two hundred thirty-one billion, six hundred sixty-five million, three hundred fifty-three thousand, four hundred eight".