245574122116000 has 192 divisors, whose sum is σ = 604893649651200. Its totient is φ = 97982640537600.

The previous prime is 245574122115991. The next prime is 245574122116021. The reversal of 245574122116000 is 611221475542.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6909194229 + ... + 6909229771.

It is an arithmetic number, because the mean of its divisors is an integer number (3150487758600).

Almost surely, 2^{245574122116000} is an apocalyptic number.

245574122116000 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 245574122116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302446824825600).

245574122116000 is an abundant number, since it is smaller than the sum of its proper divisors (359319527535200).

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

245574122116000 is a wasteful number, since it uses less digits than its factorization.

245574122116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39864 (or 39846 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 245574122116000 in words is "two hundred forty-five trillion, five hundred seventy-four billion, one hundred twenty-two million, one hundred sixteen thousand".