4533145623360 has 336 divisors, whose sum is σ = 16354272819456. Its totient is φ = 1151141400576.

The previous prime is 4533145623271. The next prime is 4533145623373. The reversal of 4533145623360 is 633265413354.

4533145623360 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 14 + 5 + 623 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4555759 + ... + 5460881.

Almost surely, 2^{4533145623360} is an apocalyptic number.

4533145623360 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 4533145623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8177136409728).

4533145623360 is an abundant number, since it is smaller than the sum of its proper divisors (11821127196096).

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

4533145623360 is a wasteful number, since it uses less digits than its factorization.

4533145623360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905230 (or 905217 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 4533145623360 in words is "four trillion, five hundred thirty-three billion, one hundred forty-five million, six hundred twenty-three thousand, three hundred sixty".