245623982112 has 288 divisors, whose sum is σ = 763156779840. Its totient is φ = 74629693440.

The previous prime is 245623982101. The next prime is 245623982113. The reversal of 245623982112 is 211289326542.

245623982112 is a `hidden beast` number, since 2 + 4 + 5 + 623 + 9 + 8 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×245623982112² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245623982113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27897903 + ... + 27906705.

It is an arithmetic number, because the mean of its divisors is an integer number (2649849930).

Almost surely, 2^245623982112 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 245623982112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381578389920).

245623982112 is an abundant number, since it is smaller than the sum of its proper divisors (517532797728).

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

245623982112 is a wasteful number, since it uses less digits than its factorization.

245623982112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016 (or 9005 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 245623982112 in words is "two hundred forty-five billion, six hundred twenty-three million, nine hundred eighty-two thousand, one hundred twelve".