7733465989921 has 27 divisors (see below), whose sum is σ = 9556790658969. Its totient is φ = 6238495511808.

The previous prime is 7733465989807. The next prime is 7733465989927. The reversal of 7733465989921 is 1299895643377.

The square root of 7733465989921 is 2780911.

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

It can be written as a sum of positive squares in 4 ways, for example, as 163616205025 + 7569849784896 = 404495^2 + 2751336^2 .

It is not a de Polignac number, because 7733465989921 - 2⁷ = 7733465989793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7733465989927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 330916725 + ... + 330940093.

Almost surely, 2^{7733465989921} is an apocalyptic number.

7733465989921 is the 2780911-st square number.

7733465989921 is the 1390456-th centered octagonal number.

It is an amenable number.

7733465989921 is a deficient number, since it is larger than the sum of its proper divisors (1823324669048).

7733465989921 is an frugal number, since it uses more digits than its factorization.

7733465989921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46786 (or 23393 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 73.

The spelling of 7733465989921 in words is "seven trillion, seven hundred thirty-three billion, four hundred sixty-five million, nine hundred eighty-nine thousand, nine hundred twenty-one".