7733955438001 has 81 divisors (see below), whose sum is σ = 8947925411691. Its totient is φ = 6681071997600.

The previous prime is 7733955437903. The next prime is 7733955438023. The reversal of 7733955438001 is 1008345593377.

The square root of 7733955438001 is 2780999.

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., 1144076248225 + 6589879189776 = 1069615^2 + 2567076^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7733955438001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7733955438301) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59037827706 + ... + 59037827836.

Almost surely, 2^{7733955438001} is an apocalyptic number.

7733955438001 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

7733955438001 is the 2780999-th square number.

7733955438001 is the 1390500-th centered octagonal number.

It is an amenable number.

7733955438001 is a deficient number, since it is larger than the sum of its proper divisors (1213969973690).

7733955438001 is an equidigital number, since it uses as much as digits as its factorization.

7733955438001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 7733955438001 in words is "seven trillion, seven hundred thirty-three billion, nine hundred fifty-five million, four hundred thirty-eight thousand, one".