245355132000000 has 1008 divisors, whose sum is σ = 937321689628800. Its totient is φ = 56348928000000.

The previous prime is 245355131999977. The next prime is 245355132000001. The reversal of 245355132000000 is 231553542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245355132000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2507951086 + ... + 2508048914.

It is an arithmetic number, because the mean of its divisors is an integer number (929882628600).

Almost surely, 2^{245355132000000} is an apocalyptic number.

245355132000000 is a gapful number since it is divisible by the number (20) 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 245355132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468660844814400).

245355132000000 is an abundant number, since it is smaller than the sum of its proper divisors (691966557628800).

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

245355132000000 is an frugal number, since it uses more digits than its factorization.

245355132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97908 (or 97869 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 245355132000000 its reverse (231553542), we get a palindrome (245355363553542).

The spelling of 245355132000000 in words is "two hundred forty-five trillion, three hundred fifty-five billion, one hundred thirty-two million", and thus it is an aban number.