1064133216234 has 112 divisors (see below), whose sum is σ = 2628296877600. Its totient is φ = 320299699680.

The previous prime is 1064133216227. The next prime is 1064133216283. The reversal of 1064133216234 is 4326123314601.

1064133216234 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 3 + 3 + 21 + 623 + 4 = 666.

It is a super-2 number, since 2×1064133216234² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2167009 + ... + 2612315.

Almost surely, 2^{1064133216234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064133216234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314148438800).

1064133216234 is an abundant number, since it is smaller than the sum of its proper divisors (1564163661366).

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

1064133216234 is a wasteful number, since it uses less digits than its factorization.

1064133216234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445487 (or 445472 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1064133216234 in words is "one trillion, sixty-four billion, one hundred thirty-three million, two hundred sixteen thousand, two hundred thirty-four".