245200114112000 has 160 divisors (see below), whose sum is σ = 611490690439200. Its totient is φ = 98068996300800.

The previous prime is 245200114111951. The next prime is 245200114112011. The reversal of 245200114112000 is 211411002542.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580076726 + ... + 580499274.

It is an arithmetic number, because the mean of its divisors is an integer number (3821816815245).

Almost surely, 2^{245200114112000} is an apocalyptic number.

245200114112000 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 245200114112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305745345219600).

245200114112000 is an abundant number, since it is smaller than the sum of its proper divisors (366290576327200).

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

245200114112000 is an frugal number, since it uses more digits than its factorization.

245200114112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431649 (or 431623 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 245200114112000 its reverse (211411002542), we get a palindrome (245411525114542).

The spelling of 245200114112000 in words is "two hundred forty-five trillion, two hundred billion, one hundred fourteen million, one hundred twelve thousand".