45116257959 has 112 divisors (see below), whose sum is σ = 75676591872. Its totient is φ = 26737185024.

The previous prime is 45116257933. The next prime is 45116257969. The reversal of 45116257959 is 95975261154.

45116257959 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 62 + 579 + 5 + 9 = 666.

It is not a de Polignac number, because 45116257959 - 2¹³ = 45116249767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45116257909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23657284 + ... + 23659190.

It is an arithmetic number, because the mean of its divisors is an integer number (675683856).

Almost surely, 2^45116257959 is an apocalyptic number.

45116257959 is a deficient number, since it is larger than the sum of its proper divisors (30560333913).

45116257959 is a wasteful number, since it uses less digits than its factorization.

45116257959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2033 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 45116257959 in words is "forty-five billion, one hundred sixteen million, two hundred fifty-seven thousand, nine hundred fifty-nine".