1972586542144 has 35 divisors (see below), whose sum is σ = 3923715896647. Its totient is φ = 983939349184.

The previous prime is 1972586542079. The next prime is 1972586542169. The reversal of 1972586542144 is 4412456852791.

It is a happy number.

The square root of 1972586542144 is 1404488.

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

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=838.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 4707843567 + ... + 4707843985.

Almost surely, 2^{1972586542144} is an apocalyptic number.

1972586542144 is the 1404488-th square number.

It is an amenable number.

1972586542144 is a deficient number, since it is larger than the sum of its proper divisors (1951129354503).

1972586542144 is an frugal number, since it uses more digits than its factorization.

1972586542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 421 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 58.

The spelling of 1972586542144 in words is "one trillion, nine hundred seventy-two billion, five hundred eighty-six million, five hundred forty-two thousand, one hundred forty-four".