196152834816 has 576 divisors, whose sum is σ = 639712805760. Its totient is φ = 59767455744.

The previous prime is 196152834797. The next prime is 196152834841. The reversal of 196152834816 is 618438251691.

It is a happy number.

196152834816 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 528 + 34 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2488320) is a multiple of the sum of its prime factors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352159210 + ... + 352159766.

It is an arithmetic number, because the mean of its divisors is an integer number (1110612510).

Almost surely, 2^196152834816 is an apocalyptic number.

196152834816 is a gapful number since it is divisible by the number (16) 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 196152834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319856402880).

196152834816 is an abundant number, since it is smaller than the sum of its proper divisors (443559970944).

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

196152834816 is an frugal number, since it uses more digits than its factorization.

196152834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 616 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 196152834816 in words is "one hundred ninety-six billion, one hundred fifty-two million, eight hundred thirty-four thousand, eight hundred sixteen".