916540502502241 has 64 divisors (see below), whose sum is σ = 965570812812352. Its totient is φ = 869100503040000.

The previous prime is 916540502502133. The next prime is 916540502502263. The reversal of 916540502502241 is 142205205045619.

916540502502241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 866183525552016 + 50356976950225 = 29430996^2 + 7096265^2 .

It is a 4-Lehmer number, since φ(916540502502241) divides (916540502502241-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 916540502502241 - 2¹¹ = 916540502500193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 916540502502191 and 916540502502200.

It is not an unprimeable number, because it can be changed into a prime (916540502502041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121219478101 + ... + 121219485661.

It is an arithmetic number, because the mean of its divisors is an integer number (15087043950193).

It is a Poulet number, since it divides 2^{916540502502240}-1.

Almost surely, 2^{916540502502241} is an apocalyptic number.

916540502502241 is the 17478945-th hex number.

It is an amenable number.

916540502502241 is a deficient number, since it is larger than the sum of its proper divisors (49030310310111).

916540502502241 is a wasteful number, since it uses less digits than its factorization.

916540502502241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934.

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 916540502502241 in words is "nine hundred sixteen trillion, five hundred forty billion, five hundred two million, five hundred two thousand, two hundred forty-one".