45824967719760 has 160 divisors (see below), whose sum is σ = 144079632956160. Its totient is φ = 12046087065600.

The previous prime is 45824967719753. The next prime is 45824967719761. The reversal of 45824967719760 is 6791776942854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45824967719761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116374086 + ... + 116767194.

It is an arithmetic number, because the mean of its divisors is an integer number (900497705976).

Almost surely, 2^{45824967719760} is an apocalyptic number.

45824967719760 is a gapful number since it is divisible by the number (40) 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 45824967719760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72039816478080).

45824967719760 is an abundant number, since it is smaller than the sum of its proper divisors (98254665236400).

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

45824967719760 is a wasteful number, since it uses less digits than its factorization.

45824967719760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400037 (or 400031 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 75.

The spelling of 45824967719760 in words is "forty-five trillion, eight hundred twenty-four billion, nine hundred sixty-seven million, seven hundred nineteen thousand, seven hundred sixty".