195245945856 has 440 divisors, whose sum is σ = 642646708704. Its totient is φ = 58664632320.

The previous prime is 195245945833. The next prime is 195245945857. The reversal of 195245945856 is 658549542591.

195245945856 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 45 + 9 + 4 + 585 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 195245945793 and 195245945802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195245945857) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46363591 + ... + 46367801.

Almost surely, 2^195245945856 is an apocalyptic number.

195245945856 is a gapful number since it is divisible by the number (16) 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 195245945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321323354352).

195245945856 is an abundant number, since it is smaller than the sum of its proper divisors (447400762848).

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

195245945856 is a wasteful number, since it uses less digits than its factorization.

195245945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4272 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 63.

The spelling of 195245945856 in words is "one hundred ninety-five billion, two hundred forty-five million, nine hundred forty-five thousand, eight hundred fifty-six".