45545590618080 has 768 divisors, whose sum is σ = 180805976064000. Its totient is φ = 9401850372096.

The previous prime is 45545590618069. The next prime is 45545590618081. The reversal of 45545590618080 is 8081609554554.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45545590618081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146101737 + ... + 146413143.

It is an arithmetic number, because the mean of its divisors is an integer number (235424448000).

Almost surely, 2^{45545590618080} is an apocalyptic number.

45545590618080 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 45545590618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90402988032000).

45545590618080 is an abundant number, since it is smaller than the sum of its proper divisors (135260385445920).

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

45545590618080 is a wasteful number, since it uses less digits than its factorization.

45545590618080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311559 (or 311551 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 60.

The spelling of 45545590618080 in words is "forty-five trillion, five hundred forty-five billion, five hundred ninety million, six hundred eighteen thousand, eighty".