196489089014400 has 2880 divisors, whose sum is σ = 913573505053440. Its totient is φ = 40478596300800.

The previous prime is 196489089014341. The next prime is 196489089014401. The reversal of 196489089014400 is 4410980984691.

196489089014400 is a `hidden beast` number, since 1 + 9 + 6 + 48 + 90 + 8 + 90 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196489089014401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 466719926190 + ... + 466719926610.

It is an arithmetic number, because the mean of its divisors is an integer number (317213022588).

Almost surely, 2^{196489089014400} is an apocalyptic number.

196489089014400 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 196489089014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456786752526720).

196489089014400 is an abundant number, since it is smaller than the sum of its proper divisors (717084416039040).

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

196489089014400 is an equidigital number, since it uses as much as digits as its factorization.

196489089014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 196489089014400 in words is "one hundred ninety-six trillion, four hundred eighty-nine billion, eighty-nine million, fourteen thousand, four hundred".