735166342441 has 16 divisors (see below), whose sum is σ = 755814039120. Its totient is φ = 714649927680.

The previous prime is 735166342397. The next prime is 735166342501. The reversal of 735166342441 is 144243661537.

It can be written as a sum of positive squares in 8 ways, for example, as 172553836816 + 562612505625 = 415396^2 + 750075^2 .

It is a cyclic number.

It is not a de Polignac number, because 735166342441 - 2³⁷ = 597727388969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 735166342391 and 735166342400.

It is not an unprimeable number, because it can be changed into a prime (735166346441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35318845 + ... + 35339653.

It is an arithmetic number, because the mean of its divisors is an integer number (47238377445).

Almost surely, 2^735166342441 is an apocalyptic number.

It is an amenable number.

735166342441 is a deficient number, since it is larger than the sum of its proper divisors (20647696679).

735166342441 is a wasteful number, since it uses less digits than its factorization.

735166342441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23916.

The product of its digits is 1451520, while the sum is 46.

The spelling of 735166342441 in words is "seven hundred thirty-five billion, one hundred sixty-six million, three hundred forty-two thousand, four hundred forty-one".