45106845280 has 384 divisors, whose sum is σ = 133155477504. Its totient is φ = 14089420800.

The previous prime is 45106845269. The next prime is 45106845293. The reversal of 45106845280 is 8254860154.

It is a super-2 number, since 2×45106845280² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82461967 + ... + 82462513.

It is an arithmetic number, because the mean of its divisors is an integer number (346759056).

Almost surely, 2^45106845280 is an apocalyptic number.

45106845280 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 45106845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66577738752).

45106845280 is an abundant number, since it is smaller than the sum of its proper divisors (88048632224).

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

45106845280 is a wasteful number, since it uses less digits than its factorization.

45106845280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 45106845280 in words is "forty-five billion, one hundred six million, eight hundred forty-five thousand, two hundred eighty".