245181312 has 192 divisors, whose sum is σ = 751842000. Its totient is φ = 76554240.

The previous prime is 245181269. The next prime is 245181331. The reversal of 245181312 is 213181542.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×245181312² = 120227751508082688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369639 + ... + 1369817.

Almost surely, 2^245181312 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 245181312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375921000).

245181312 is an abundant number, since it is smaller than the sum of its proper divisors (506660688).

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

245181312 is a wasteful number, since it uses less digits than its factorization.

245181312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 245181312 is about 15658.2665707287. The cubic root of 245181312 is about 625.8867940656.

The spelling of 245181312 in words is "two hundred forty-five million, one hundred eighty-one thousand, three hundred twelve".