45289153116 has 144 divisors (see below), whose sum is σ = 117464256000. Its totient is φ = 14709340800.

The previous prime is 45289153087. The next prime is 45289153139. The reversal of 45289153116 is 61135198254.

It is a happy number.

45289153116 is a `hidden beast` number, since 4 + 5 + 28 + 91 + 531 + 1 + 6 = 666.

It is a super-2 number, since 2×45289153116² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 136825071 + ... + 136825401.

It is an arithmetic number, because the mean of its divisors is an integer number (815724000).

Almost surely, 2^45289153116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45289153116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58732128000).

45289153116 is an abundant number, since it is smaller than the sum of its proper divisors (72175102884).

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

45289153116 is a wasteful number, since it uses less digits than its factorization.

45289153116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 875 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 45289153116 in words is "forty-five billion, two hundred eighty-nine million, one hundred fifty-three thousand, one hundred sixteen".