33054148864 has 81 divisors (see below), whose sum is σ = 72592843449. Its totient is φ = 15010068480.

The previous prime is 33054148847. The next prime is 33054148879. The reversal of 33054148864 is 46884145033.

The square root of 33054148864 is 181808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31912249600 + 1141899264 = 178640^2 + 33792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31997692 + ... + 31998724.

Almost surely, 2^33054148864 is an apocalyptic number.

33054148864 is the 181808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33054148864

33054148864 is an abundant number, since it is smaller than the sum of its proper divisors (39538694585).

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

33054148864 is an frugal number, since it uses more digits than its factorization.

33054148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 33054148864 in words is "thirty-three billion, fifty-four million, one hundred forty-eight thousand, eight hundred sixty-four".