1972350595216 has 135 divisors (see below), whose sum is σ = 4288287080889. Its totient is φ = 878505260544.

The previous prime is 1972350595183. The next prime is 1972350595253. The reversal of 1972350595216 is 6125950532791.

The square root of 1972350595216 is 1404404.

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

It can be written as a sum of positive squares in only one way, i.e., 1535567072400 + 436783522816 = 1239180^2 + 660896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1814489425 + ... + 1814490511.

Almost surely, 2^{1972350595216} is an apocalyptic number.

1972350595216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1972350595216 is the 1404404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972350595216

1972350595216 is an abundant number, since it is smaller than the sum of its proper divisors (2315936485673).

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

1972350595216 is an equidigital number, since it uses as much as digits as its factorization.

1972350595216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 55.

The spelling of 1972350595216 in words is "one trillion, nine hundred seventy-two billion, three hundred fifty million, five hundred ninety-five thousand, two hundred sixteen".