196213248000 has 1872 divisors, whose sum is σ = 908972962560. Its totient is φ = 40255488000.

The previous prime is 196213247977. The next prime is 196213248031. The reversal of 196213248000 is 842312691.

196213248000 is a `hidden beast` number, since 1 + 9 + 621 + 3 + 24 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2483711961 + ... + 2483712039.

It is an arithmetic number, because the mean of its divisors is an integer number (485562480).

Almost surely, 2^196213248000 is an apocalyptic number.

196213248000 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 196213248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454486481280).

196213248000 is an abundant number, since it is smaller than the sum of its proper divisors (712759714560).

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

196213248000 is a wasteful number, since it uses less digits than its factorization.

196213248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 196213248000 in words is "one hundred ninety-six billion, two hundred thirteen million, two hundred forty-eight thousand".