1972302845769 has 135 divisors (see below), whose sum is σ = 3200555765253. Its totient is φ = 1210154660352.

The previous prime is 1972302845767. The next prime is 1972302845783. The reversal of 1972302845769 is 9675482032791.

The square root of 1972302845769 is 1404387.

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

1972302845769 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 30 + 28 + 4 + 576 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 275848695369 + 1696454150400 = 525213^2 + 1302480^2 .

It is not a de Polignac number, because 1972302845769 - 2¹ = 1972302845767 is a prime.

It is a super-2 number, since 2×1972302845769² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1972302845761) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14396371069 + ... + 14396371205.

It is a 1-persistent number, because it is pandigital, but 2⋅1972302845769 = 3944605691538 is not.

Almost surely, 2^{1972302845769} is an apocalyptic number.

1972302845769 is the 1404387-th square number.

1972302845769 is the 702194-th centered octagonal number.

It is an amenable number.

1972302845769 is a deficient number, since it is larger than the sum of its proper divisors (1228252919484).

1972302845769 is an frugal number, since it uses more digits than its factorization.

1972302845769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1972302845769 in words is "one trillion, nine hundred seventy-two billion, three hundred two million, eight hundred forty-five thousand, seven hundred sixty-nine".