45643576199648 has 288 divisors, whose sum is σ = 109201683064320. Its totient is φ = 18393182438400.

The previous prime is 45643576199579. The next prime is 45643576199657. The reversal of 45643576199648 is 84699167534654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9219059573 + ... + 9219064523.

It is an arithmetic number, because the mean of its divisors is an integer number (379172510640).

Almost surely, 2^{45643576199648} 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 45643576199648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54600841532160).

45643576199648 is an abundant number, since it is smaller than the sum of its proper divisors (63558106864672).

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

45643576199648 is a wasteful number, since it uses less digits than its factorization.

45643576199648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5811 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 77.

The spelling of 45643576199648 in words is "forty-five trillion, six hundred forty-three billion, five hundred seventy-six million, one hundred ninety-nine thousand, six hundred forty-eight".