245249895810192 has 960 divisors, whose sum is σ = 838791473909760. Its totient is φ = 60103620808704.

The previous prime is 245249895810181. The next prime is 245249895810223. The reversal of 245249895810192 is 291018598942542.

245249895810192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245249895810192² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45307570878 + ... + 45307576290.

It is an arithmetic number, because the mean of its divisors is an integer number (873741118656).

Almost surely, 2^{245249895810192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245249895810192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419395736954880).

245249895810192 is an abundant number, since it is smaller than the sum of its proper divisors (593541578099568).

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

245249895810192 is a wasteful number, since it uses less digits than its factorization.

245249895810192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 69.

The spelling of 245249895810192 in words is "two hundred forty-five trillion, two hundred forty-nine billion, eight hundred ninety-five million, eight hundred ten thousand, one hundred ninety-two".