45586688668554 has 128 divisors (see below), whose sum is σ = 101756223903744. Its totient is φ = 13500208800000.

The previous prime is 45586688668541. The next prime is 45586688668561.

45586688668554 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157886629 + ... + 158175095.

It is an arithmetic number, because the mean of its divisors is an integer number (794970499248).

Almost surely, 2^{45586688668554} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45586688668554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50878111951872).

45586688668554 is an abundant number, since it is smaller than the sum of its proper divisors (56169535235190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45586688668554 is a wasteful number, since it uses less digits than its factorization.

45586688668554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288892.

The product of its digits is 53084160000, while the sum is 84.

The spelling of 45586688668554 in words is "forty-five trillion, five hundred eighty-six billion, six hundred eighty-eight million, six hundred sixty-eight thousand, five hundred fifty-four".