3233454908761 has 63 divisors (see below), whose sum is σ = 4159051205967. Its totient is φ = 2506520459520.

The previous prime is 3233454908753. The next prime is 3233454908771. The reversal of 3233454908761 is 1678094543323.

It is a happy number.

The square root of 3233454908761 is 1798181.

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., 783428563225 + 2450026345536 = 885115^2 + 1565256^2 .

It is not a de Polignac number, because 3233454908761 - 2³ = 3233454908753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3233454908701) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 16753652281 + ... + 16753652473.

It is an arithmetic number, because the mean of its divisors is an integer number (66016685809).

It is a 1-persistent number, because it is pandigital, but 2⋅3233454908761 = 6466909817522 is not.

Almost surely, 2^{3233454908761} is an apocalyptic number.

3233454908761 is the 1798181-st square number.

3233454908761 is the 899091-st centered octagonal number.

It is an amenable number.

3233454908761 is a deficient number, since it is larger than the sum of its proper divisors (925596297206).

3233454908761 is an frugal number, since it uses more digits than its factorization.

3233454908761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 3233454908761 in words is "three trillion, two hundred thirty-three billion, four hundred fifty-four million, nine hundred eight thousand, seven hundred sixty-one".