196651035725824 has 117 divisors (see below), whose sum is σ = 417779807131407. Its totient is φ = 92534483976192.

The previous prime is 196651035725801. The next prime is 196651035725827. The reversal of 196651035725824 is 428527530156691.

It is a happy number.

The square root of 196651035725824 is 14023232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37831356518400 + 158819679207424 = 6150720^2 + 12602368^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (196651035725827) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15257269972 + ... + 15257282860.

It is a 2-persistent number, because it is pandigital, and so is 2⋅196651035725824 = 393302071451648, but 3⋅196651035725824 = 589953107177472 is not.

Almost surely, 2^{196651035725824} is an apocalyptic number.

196651035725824 is the 14023232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196651035725824

196651035725824 is an abundant number, since it is smaller than the sum of its proper divisors (221128771405583).

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

196651035725824 is an frugal number, since it uses more digits than its factorization.

196651035725824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25836 (or 12908 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 64.

196651035725824 divided by its sum of digits (64) gives a square (3072672433216 = 1752904²).

It can be divided in two parts, 19665 and 1035725824, that added together give a square (1035745489 = 32183²).

The spelling of 196651035725824 in words is "one hundred ninety-six trillion, six hundred fifty-one billion, thirty-five million, seven hundred twenty-five thousand, eight hundred twenty-four".