45449071481760 has 384 divisors, whose sum is σ = 149405389056000. Its totient is φ = 11598998261760.

The previous prime is 45449071481719. The next prime is 45449071481809. The reversal of 45449071481760 is 6718417094454.

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

It is a junction number, because it is equal to n+sod(n) for n = 45449071481694 and 45449071481703.

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, 1617448191 + ... + 1617476289.

It is an arithmetic number, because the mean of its divisors is an integer number (389076534000).

Almost surely, 2^{45449071481760} is an apocalyptic number.

45449071481760 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 45449071481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74702694528000).

45449071481760 is an abundant number, since it is smaller than the sum of its proper divisors (103956317574240).

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

45449071481760 is a wasteful number, since it uses less digits than its factorization.

45449071481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29164 (or 29156 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 45449071481760 in words is "forty-five trillion, four hundred forty-nine billion, seventy-one million, four hundred eighty-one thousand, seven hundred sixty".