245008020381696 has 1344 divisors, whose sum is σ = 861328659985920. Its totient is φ = 68369920819200.

The previous prime is 245008020381673. The next prime is 245008020381763. The reversal of 245008020381696 is 696183020800542.

245008020381696 is a `hidden beast` number, since 2 + 4 + 500 + 8 + 0 + 2 + 0 + 38 + 16 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268944039481 + ... + 268944040391.

It is an arithmetic number, because the mean of its divisors is an integer number (640869538680).

Almost surely, 2^{245008020381696} is an apocalyptic number.

245008020381696 is a gapful number since it is divisible by the number (26) 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 245008020381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430664329992960).

245008020381696 is an abundant number, since it is smaller than the sum of its proper divisors (616320639604224).

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

245008020381696 is a wasteful number, since it uses less digits than its factorization.

245008020381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 245008020381696 in words is "two hundred forty-five trillion, eight billion, twenty million, three hundred eighty-one thousand, six hundred ninety-six".