45171648768 has 144 divisors (see below), whose sum is σ = 121530157056. Its totient is φ = 14894284800.

The previous prime is 45171648751. The next prime is 45171648779. The reversal of 45171648768 is 86784617154.

Its product of digits (9031680) is a multiple of the sum of its prime factors (1680).

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 15 ways as a sum of consecutive naturals, for example, 39244993 + ... + 39246143.

It is an arithmetic number, because the mean of its divisors is an integer number (843959424).

Almost surely, 2^45171648768 is an apocalyptic number.

45171648768 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 45171648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60765078528).

45171648768 is an abundant number, since it is smaller than the sum of its proper divisors (76358508288).

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

45171648768 is a wasteful number, since it uses less digits than its factorization.

45171648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1666 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The spelling of 45171648768 in words is "forty-five billion, one hundred seventy-one million, six hundred forty-eight thousand, seven hundred sixty-eight".