45429240168 has 216 divisors, whose sum is σ = 136620236610. Its totient is φ = 13631155200.

The previous prime is 45429240091. The next prime is 45429240193. The reversal of 45429240168 is 86104292454.

It is a happy number.

45429240168 is a `hidden beast` number, since 4 + 542 + 9 + 2 + 40 + 1 + 68 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 9351276804 + 36077963364 = 96702^2 + 189942^2 .

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 53 ways as a sum of consecutive naturals, for example, 20453298 + ... + 20455518.

Almost surely, 2^45429240168 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 45429240168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68310118305).

45429240168 is an abundant number, since it is smaller than the sum of its proper divisors (91190996442).

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

45429240168 is a wasteful number, since it uses less digits than its factorization.

45429240168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45429240168 in words is "forty-five billion, four hundred twenty-nine million, two hundred forty thousand, one hundred sixty-eight".