245369116197504 has 256 divisors, whose sum is σ = 780223609670400. Its totient is φ = 75465488609280.

The previous prime is 245369116197481. The next prime is 245369116197529. The reversal of 245369116197504 is 405791611963542.

245369116197504 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 6 + 9 + 1 + 1 + 619 + 7 + 5 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102647002 + ... + 105010214.

It is an arithmetic number, because the mean of its divisors is an integer number (3047748475275).

Almost surely, 2^{245369116197504} is an apocalyptic number.

245369116197504 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 245369116197504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390111804835200).

245369116197504 is an abundant number, since it is smaller than the sum of its proper divisors (534854493472896).

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

245369116197504 is a wasteful number, since it uses less digits than its factorization.

245369116197504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365560 (or 2365542 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 245369116197504 in words is "two hundred forty-five trillion, three hundred sixty-nine billion, one hundred sixteen million, one hundred ninety-seven thousand, five hundred four".