945151606151549 has 8 divisors (see below), whose sum is σ = 979187269878360. Its totient is φ = 911212224360256.

The previous prime is 945151606151537. The next prime is 945151606151617.

945151606151549 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 718917127516900 + 226234478634649 = 26812630^2 + 15041093^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 945151606151549 - 2¹² = 945151606147453 is a prime.

It is a super-2 number, since 2×945151606151549² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 945151606151491 and 945151606151500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945151606151849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24070463894 + ... + 24070503159.

It is an arithmetic number, because the mean of its divisors is an integer number (122398408734795).

Almost surely, 2^{945151606151549} is an apocalyptic number.

It is an amenable number.

945151606151549 is a deficient number, since it is larger than the sum of its proper divisors (34035663726811).

945151606151549 is a wasteful number, since it uses less digits than its factorization.

945151606151549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48140967759.

The product of its (nonzero) digits is 29160000, while the sum is 62.

The spelling of 945151606151549 in words is "nine hundred forty-five trillion, one hundred fifty-one billion, six hundred six million, one hundred fifty-one thousand, five hundred forty-nine".