245117845440 has 560 divisors, whose sum is σ = 944421397920. Its totient is φ = 59988418560.

The previous prime is 245117845417. The next prime is 245117845451. The reversal of 245117845440 is 44548711542.

245117845440 is a `hidden beast` number, since 2 + 4 + 511 + 7 + 84 + 54 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60987751 + ... + 60991769.

It is an arithmetic number, because the mean of its divisors is an integer number (1686466782).

Almost surely, 2^245117845440 is an apocalyptic number.

245117845440 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 245117845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472210698960).

245117845440 is an abundant number, since it is smaller than the sum of its proper divisors (699303552480).

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

245117845440 is a wasteful number, since it uses less digits than its factorization.

245117845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 245117845440 in words is "two hundred forty-five billion, one hundred seventeen million, eight hundred forty-five thousand, four hundred forty".