45444429828 has 144 divisors (see below), whose sum is σ = 133251745536. Its totient is φ = 12789964800.

The previous prime is 45444429827. The next prime is 45444429841. The reversal of 45444429828 is 82892444454.

45444429828 is a `hidden beast` number, since 4 + 544 + 4 + 4 + 2 + 98 + 2 + 8 = 666.

It is a super-2 number, since 2×45444429828² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45444429827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28384228 + ... + 28385828.

It is an arithmetic number, because the mean of its divisors is an integer number (925359344).

Almost surely, 2^45444429828 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 45444429828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66625872768).

45444429828 is an abundant number, since it is smaller than the sum of its proper divisors (87807315708).

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

45444429828 is a wasteful number, since it uses less digits than its factorization.

45444429828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3229 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 45444429828 in words is "forty-five billion, four hundred forty-four million, four hundred twenty-nine thousand, eight hundred twenty-eight".