245302608006144 has 528 divisors, whose sum is σ = 807915388644000. Its totient is φ = 71015493795840.

The previous prime is 245302608006143. The next prime is 245302608006167. The reversal of 245302608006144 is 441600806203542.

245302608006144 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 0 + 26 + 0 + 8 + 0 + 0 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 245302608006144.

It is not an unprimeable number, because it can be changed into a prime (245302608006143) 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, 7126522054 + ... + 7126556474.

Almost surely, 2^{245302608006144} is an apocalyptic number.

245302608006144 is a gapful number since it is divisible by the number (24) 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 245302608006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403957694322000).

245302608006144 is an abundant number, since it is smaller than the sum of its proper divisors (562612780637856).

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

245302608006144 is a wasteful number, since it uses less digits than its factorization.

245302608006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37976 (or 37955 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 245302608006144 in words is "two hundred forty-five trillion, three hundred two billion, six hundred eight million, six thousand, one hundred forty-four".