3233034148096 has 81 divisors (see below), whose sum is σ = 6519511772193. Its totient is φ = 1600133114880.

The previous prime is 3233034148067. The next prime is 3233034148121. The reversal of 3233034148096 is 6908414303323.

The square root of 3233034148096 is 1798064.

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., 2253409290496 + 979624857600 = 1501136^2 + 989760^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 3135823101 + ... + 3135824131.

Almost surely, 2^{3233034148096} is an apocalyptic number.

3233034148096 is the 1798064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233034148096

3233034148096 is an abundant number, since it is smaller than the sum of its proper divisors (3286477624097).

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

3233034148096 is an frugal number, since it uses more digits than its factorization.

3233034148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 3233034148096 in words is "three trillion, two hundred thirty-three billion, thirty-four million, one hundred forty-eight thousand, ninety-six".