45168810048 has 336 divisors, whose sum is σ = 139436856000. Its totient is φ = 13937577984.

The previous prime is 45168810023. The next prime is 45168810091. The reversal of 45168810048 is 84001886154.

45168810048 is a `hidden beast` number, since 4 + 516 + 88 + 10 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45168809985 and 45168810012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167913658 + ... + 167913926.

Almost surely, 2^45168810048 is an apocalyptic number.

45168810048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45168810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69718428000).

45168810048 is an abundant number, since it is smaller than the sum of its proper divisors (94268045952).

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

45168810048 is a wasteful number, since it uses less digits than its factorization.

45168810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 45168810048 in words is "forty-five billion, one hundred sixty-eight million, eight hundred ten thousand, forty-eight".