45110500124160 has 1280 divisors, whose sum is σ = 162734270054400. Its totient is φ = 10607011430400.

The previous prime is 45110500124159. The next prime is 45110500124243. The reversal of 45110500124160 is 6142100501154.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 45520181265 + ... + 45520182255.

It is an arithmetic number, because the mean of its divisors is an integer number (127136148480).

Almost surely, 2^{45110500124160} is an apocalyptic number.

45110500124160 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 45110500124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81367135027200).

45110500124160 is an abundant number, since it is smaller than the sum of its proper divisors (117623769930240).

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

45110500124160 is a wasteful number, since it uses less digits than its factorization.

45110500124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 45110500124160 in words is "forty-five trillion, one hundred ten billion, five hundred million, one hundred twenty-four thousand, one hundred sixty".