8145744393600 has 720 divisors, whose sum is σ = 33040831514460. Its totient is φ = 1974718310400.

The previous prime is 8145744393593. The next prime is 8145744393601. The reversal of 8145744393600 is 63934475418.

8145744393600 is a `hidden beast` number, since 8 + 1 + 4 + 57 + 443 + 93 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8145744393601) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 31233339 + ... + 31493061.

Almost surely, 2^{8145744393600} is an apocalyptic number.

8145744393600 is a gapful number since it is divisible by the number (80) 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 8145744393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520415757230).

8145744393600 is an abundant number, since it is smaller than the sum of its proper divisors (24895087120860).

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

8145744393600 is a wasteful number, since it uses less digits than its factorization.

8145744393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259781 (or 259744 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 8145744393600 in words is "eight trillion, one hundred forty-five billion, seven hundred forty-four million, three hundred ninety-three thousand, six hundred".