196454361600 has 720 divisors, whose sum is σ = 808574944320. Its totient is φ = 44620185600.

The previous prime is 196454361583. The next prime is 196454361613. The reversal of 196454361600 is 6163454691.

196454361600 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 5 + 4 + 36 + 1 + 600 = 666.

196454361600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144344920 + ... + 144346280.

It is an arithmetic number, because the mean of its divisors is an integer number (1123020756).

Almost surely, 2^196454361600 is an apocalyptic number.

196454361600 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 196454361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404287472160).

196454361600 is an abundant number, since it is smaller than the sum of its proper divisors (612120582720).

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

196454361600 is a wasteful number, since it uses less digits than its factorization.

196454361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1557 counting only the distinct ones).

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

The spelling of 196454361600 in words is "one hundred ninety-six billion, four hundred fifty-four million, three hundred sixty-one thousand, six hundred".