45106016676 has 192 divisors, whose sum is σ = 128316604416. Its totient is φ = 12060316800.

The previous prime is 45106016671. The next prime is 45106016687. The reversal of 45106016676 is 67661060154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45106016671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11531161 + ... + 11535071.

It is an arithmetic number, because the mean of its divisors is an integer number (668315648).

Almost surely, 2^45106016676 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 45106016676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64158302208).

45106016676 is an abundant number, since it is smaller than the sum of its proper divisors (83210587740).

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

45106016676 is a wasteful number, since it uses less digits than its factorization.

45106016676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 45106016676 in words is "forty-five billion, one hundred six million, sixteen thousand, six hundred seventy-six".