245588112000 has 2560 divisors, whose sum is σ = 1197722972160. Its totient is φ = 48356352000.

The previous prime is 245588111927. The next prime is 245588112067. The reversal of 245588112000 is 211885542.

245588112000 is a `hidden beast` number, since 2 + 4 + 558 + 81 + 1 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2295215947 + ... + 2295216053.

It is an arithmetic number, because the mean of its divisors is an integer number (467860536).

Almost surely, 2^245588112000 is an apocalyptic number.

245588112000 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 245588112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598861486080).

245588112000 is an abundant number, since it is smaller than the sum of its proper divisors (952134860160).

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

245588112000 is a wasteful number, since it uses less digits than its factorization.

245588112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 245588112000 its reverse (211885542), we get a palindrome (245799997542).

The spelling of 245588112000 in words is "two hundred forty-five billion, five hundred eighty-eight million, one hundred twelve thousand".