196438464000 has 480 divisors, whose sum is σ = 710822825856. Its totient is φ = 52140441600.

The previous prime is 196438463957. The next prime is 196438464007. The reversal of 196438464000 is 464834691.

It is a tau number, because it is divible by the number of its divisors (480).

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 (196438464007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148031337 + ... + 148032663.

Almost surely, 2^196438464000 is an apocalyptic number.

196438464000 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 196438464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355411412928).

196438464000 is an abundant number, since it is smaller than the sum of its proper divisors (514384361856).

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

196438464000 is a wasteful number, since it uses less digits than its factorization.

196438464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 196438464000 in words is "one hundred ninety-six billion, four hundred thirty-eight million, four hundred sixty-four thousand".