45652106345120 has 192 divisors, whose sum is σ = 117907306062336. Its totient is φ = 16565598766080.

The previous prime is 45652106345101. The next prime is 45652106345129. The reversal of 45652106345120 is 2154360125654.

It is a super-3 number, since 3×45652106345120³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (45652106345129) 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, 6302924219 + ... + 6302931461.

It is an arithmetic number, because the mean of its divisors is an integer number (614100552408).

Almost surely, 2^{45652106345120} is an apocalyptic number.

45652106345120 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 45652106345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58953653031168).

45652106345120 is an abundant number, since it is smaller than the sum of its proper divisors (72255199717216).

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

45652106345120 is a wasteful number, since it uses less digits than its factorization.

45652106345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14363 (or 14355 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 45652106345120 in words is "forty-five trillion, six hundred fifty-two billion, one hundred six million, three hundred forty-five thousand, one hundred twenty".