245382419520 has 896 divisors, whose sum is σ = 1042464768000. Its totient is φ = 54257817600.

The previous prime is 245382419483. The next prime is 245382419539. The reversal of 245382419520 is 25914283542.

245382419520 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 82 + 41 + 9 + 520 = 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 127 ways as a sum of consecutive naturals, for example, 91867785 + ... + 91870455.

Almost surely, 2^245382419520 is an apocalyptic number.

245382419520 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 245382419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521232384000).

245382419520 is an abundant number, since it is smaller than the sum of its proper divisors (797082348480).

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

245382419520 is a wasteful number, since it uses less digits than its factorization.

245382419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 245382419520 in words is "two hundred forty-five billion, three hundred eighty-two million, four hundred nineteen thousand, five hundred twenty".