196314564600 has 960 divisors, whose sum is σ = 854421384960. Its totient is φ = 40584499200.

The previous prime is 196314564587. The next prime is 196314564601. The reversal of 196314564600 is 6465413691.

196314564600 is a `hidden beast` number, since 1 + 9 + 6 + 31 + 4 + 5 + 6 + 4 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196314564601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 420373567 + ... + 420374033.

It is an arithmetic number, because the mean of its divisors is an integer number (890022276).

Almost surely, 2^196314564600 is an apocalyptic number.

196314564600 is a gapful number since it is divisible by the number (10) 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 196314564600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427210692480).

196314564600 is an abundant number, since it is smaller than the sum of its proper divisors (658106820360).

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

196314564600 is a wasteful number, since it uses less digits than its factorization.

196314564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 196314564600 in words is "one hundred ninety-six billion, three hundred fourteen million, five hundred sixty-four thousand, six hundred".