545305007247000 has 1024 divisors, whose sum is σ = 2285182482186240. Its totient is φ = 104555038464000.

The previous prime is 545305007246977. The next prime is 545305007247001. The reversal of 545305007247000 is 742700503545.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545305007247001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8417376609 + ... + 8417441391.

It is an arithmetic number, because the mean of its divisors is an integer number (2231623517760).

Almost surely, 2^{545305007247000} is an apocalyptic number.

545305007247000 is a gapful number since it is divisible by the number (50) 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 545305007247000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142591241093120).

545305007247000 is an abundant number, since it is smaller than the sum of its proper divisors (1739877474939240).

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

545305007247000 is a wasteful number, since it uses less digits than its factorization.

545305007247000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67641 (or 67627 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 42.

The spelling of 545305007247000 in words is "five hundred forty-five trillion, three hundred five billion, seven million, two hundred forty-seven thousand".