264633526133004 has 144 divisors (see below), whose sum is σ = 722915473674240. Its totient is φ = 75123197372160.

The previous prime is 264633526132931. The next prime is 264633526133087. The reversal of 264633526133004 is 400331625336462.

It is a super-2 number, since 2×264633526133004² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219259024 + ... + 220462664.

It is an arithmetic number, because the mean of its divisors is an integer number (5020246344960).

Almost surely, 2^{264633526133004} 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 264633526133004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361457736837120).

264633526133004 is an abundant number, since it is smaller than the sum of its proper divisors (458281947541236).

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

264633526133004 is a wasteful number, since it uses less digits than its factorization.

264633526133004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206068 (or 1206059 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 264633526133004 in words is "two hundred sixty-four trillion, six hundred thirty-three billion, five hundred twenty-six million, one hundred thirty-three thousand, four".