163745534400000 has 1440 divisors, whose sum is σ = 643799700681984. Its totient is φ = 36865382400000.

The previous prime is 163745534399947. The next prime is 163745534400001. The reversal of 163745534400000 is 4435547361.

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 (163745534400001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15758394805 + ... + 15758405195.

Almost surely, 2^{163745534400000} is an apocalyptic number.

163745534400000 is a gapful number since it is divisible by the number (10) 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 163745534400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321899850340992).

163745534400000 is an abundant number, since it is smaller than the sum of its proper divisors (480054166281984).

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

163745534400000 is an frugal number, since it uses more digits than its factorization.

163745534400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10518 (or 10475 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

Adding to 163745534400000 its reverse (4435547361), we get a palindrome (163749969947361).

The spelling of 163745534400000 in words is "one hundred sixty-three trillion, seven hundred forty-five billion, five hundred thirty-four million, four hundred thousand".