45906589653877 has 2 divisors, whose sum is σ = 45906589653878. Its totient is φ = 45906589653876.

The previous prime is 45906589653809. The next prime is 45906589653893. The reversal of 45906589653877 is 77835698560954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25026497017201 + 20880092636676 = 5002649^2 + 4569474^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45906589653877 is a prime.

It is a super-2 number, since 2×45906589653877² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45906589653877.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45906569653877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22953294826938 + 22953294826939.

It is an arithmetic number, because the mean of its divisors is an integer number (22953294826939).

Almost surely, 2^{45906589653877} is an apocalyptic number.

It is an amenable number.

45906589653877 is a deficient number, since it is larger than the sum of its proper divisors (1).

45906589653877 is an equidigital number, since it uses as much as digits as its factorization.

45906589653877 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13716864000, while the sum is 82.

The spelling of 45906589653877 in words is "forty-five trillion, nine hundred six billion, five hundred eighty-nine million, six hundred fifty-three thousand, eight hundred seventy-seven".