45168241248 has 288 divisors, whose sum is σ = 149695693056. Its totient is φ = 13292978688.

The previous prime is 45168241247. The next prime is 45168241259. The reversal of 45168241248 is 84214286154.

45168241248 is a `hidden beast` number, since 4 + 5 + 168 + 241 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45168241243) 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, 2315311 + ... + 2334737.

It is an arithmetic number, because the mean of its divisors is an integer number (519776712).

Almost surely, 2^45168241248 is an apocalyptic number.

45168241248 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 45168241248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74847846528).

45168241248 is an abundant number, since it is smaller than the sum of its proper divisors (104527451808).

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

45168241248 is a wasteful number, since it uses less digits than its factorization.

45168241248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19488 (or 19468 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 45168241248 in words is "forty-five billion, one hundred sixty-eight million, two hundred forty-one thousand, two hundred forty-eight".