4523305144960 has 512 divisors, whose sum is σ = 13297823884800. Its totient is φ = 1436855500800.

The previous prime is 4523305144937. The next prime is 4523305144973. The reversal of 4523305144960 is 694415033254.

It is a super-2 number, since 2×4523305144960² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4523305144960.

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 63 ways as a sum of consecutive naturals, for example, 939807514 + ... + 939812326.

It is an arithmetic number, because the mean of its divisors is an integer number (25972312275).

Almost surely, 2^{4523305144960} is an apocalyptic number.

4523305144960 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 4523305144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648911942400).

4523305144960 is an abundant number, since it is smaller than the sum of its proper divisors (8774518739840).

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

4523305144960 is a wasteful number, since it uses less digits than its factorization.

4523305144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 4523305144960 in words is "four trillion, five hundred twenty-three billion, three hundred five million, one hundred forty-four thousand, nine hundred sixty".