4535748497280 has 2048 divisors, whose sum is σ = 20561883955200. Its totient is φ = 819035504640.

The previous prime is 4535748497237. The next prime is 4535748497297. The reversal of 4535748497280 is 827948475354.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8143174762 + ... + 8143175318.

It is an arithmetic number, because the mean of its divisors is an integer number (10039982400).

Almost surely, 2^{4535748497280} is an apocalyptic number.

4535748497280 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 4535748497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10280941977600).

4535748497280 is an abundant number, since it is smaller than the sum of its proper divisors (16026135457920).

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

4535748497280 is a wasteful number, since it uses less digits than its factorization.

4535748497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 66.

The spelling of 4535748497280 in words is "four trillion, five hundred thirty-five billion, seven hundred forty-eight million, four hundred ninety-seven thousand, two hundred eighty".