45829507954141 has 2 divisors, whose sum is σ = 45829507954142. Its totient is φ = 45829507954140.

The previous prime is 45829507954129. The next prime is 45829507954151. The reversal of 45829507954141 is 14145970592854.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40735616942916 + 5093891011225 = 6382446^2 + 2256965^2 .

It is a cyclic number.

It is not a de Polignac number, because 45829507954141 - 2²⁹ = 45828971083229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45829507954121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22914753977070 + 22914753977071.

It is an arithmetic number, because the mean of its divisors is an integer number (22914753977071).

Almost surely, 2^{45829507954141} is an apocalyptic number.

It is an amenable number.

45829507954141 is a deficient number, since it is larger than the sum of its proper divisors (1).

45829507954141 is an equidigital number, since it uses as much as digits as its factorization.

45829507954141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576000, while the sum is 64.

The spelling of 45829507954141 in words is "forty-five trillion, eight hundred twenty-nine billion, five hundred seven million, nine hundred fifty-four thousand, one hundred forty-one".