5532145344000 has 640 divisors, whose sum is σ = 22294622338560. Its totient is φ = 1341121536000.

The previous prime is 5532145343983. The next prime is 5532145344007. The reversal of 5532145344000 is 4435412355.

5532145344000 is a `hidden beast` number, since 5 + 5 + 3 + 214 + 5 + 34 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5532145344007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18862479 + ... + 19153521.

It is an arithmetic number, because the mean of its divisors is an integer number (34835347404).

Almost surely, 2^{5532145344000} is an apocalyptic number.

5532145344000 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 5532145344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147311169280).

5532145344000 is an abundant number, since it is smaller than the sum of its proper divisors (16762476994560).

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

5532145344000 is a wasteful number, since it uses less digits than its factorization.

5532145344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291096 (or 291064 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 5532145344000 in words is "five trillion, five hundred thirty-two billion, one hundred forty-five million, three hundred forty-four thousand".