6735249480961 has 4 divisors (see below), whose sum is σ = 6735396453124. Its totient is φ = 6735102508800.

The previous prime is 6735249480863. The next prime is 6735249481007. The reversal of 6735249480961 is 1690849425376.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5944546164736 + 790703316225 = 2438144^2 + 889215^2 .

It is a cyclic number.

It is not a de Polignac number, because 6735249480961 - 2¹⁹ = 6735248956673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6735249480893 and 6735249480902.

It is not an unprimeable number, because it can be changed into a prime (6735249480161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73417320 + ... + 73509001.

It is an arithmetic number, because the mean of its divisors is an integer number (1683849113281).

It is a 1-persistent number, because it is pandigital, but 2⋅6735249480961 = 13470498961922 is not.

Almost surely, 2^{6735249480961} is an apocalyptic number.

It is an amenable number.

6735249480961 is a deficient number, since it is larger than the sum of its proper divisors (146972163).

6735249480961 is a wasteful number, since it uses less digits than its factorization.

6735249480961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146972162.

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 6735249480961 in words is "six trillion, seven hundred thirty-five billion, two hundred forty-nine million, four hundred eighty thousand, nine hundred sixty-one".