233447002556264 has 128 divisors (see below), whose sum is σ = 512824102560000. Its totient is φ = 97594143075072.

The previous prime is 233447002556239. The next prime is 233447002556309. The reversal of 233447002556264 is 462655200744332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3441665102 + ... + 3441732930.

It is an arithmetic number, because the mean of its divisors is an integer number (4006438301250).

Almost surely, 2^{233447002556264} 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 233447002556264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256412051280000).

233447002556264 is an abundant number, since it is smaller than the sum of its proper divisors (279377100003736).

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

233447002556264 is an frugal number, since it uses more digits than its factorization.

233447002556264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68744 (or 68654 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 53.

The spelling of 233447002556264 in words is "two hundred thirty-three trillion, four hundred forty-seven billion, two million, five hundred fifty-six thousand, two hundred sixty-four".