146071489249 has 27 divisors (see below), whose sum is σ = 172571250771. Its totient is φ = 123280174080.

The previous prime is 146071489171. The next prime is 146071489301. The reversal of 146071489249 is 942984170641.

It is a happy number.

The square root of 146071489249 is 382193.

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., 57148249249 + 88923240000 = 239057^2 + 298200^2 .

It is not a de Polignac number, because 146071489249 - 2⁹ = 146071488737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146071489249.

It is not an unprimeable number, because it can be changed into a prime (146071489049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189949537 + ... + 189950305.

Almost surely, 2^146071489249 is an apocalyptic number.

146071489249 is the 382193-rd square number.

146071489249 is the 191097-th centered octagonal number.

It is an amenable number.

146071489249 is a deficient number, since it is larger than the sum of its proper divisors (26499761522).

146071489249 is an frugal number, since it uses more digits than its factorization.

146071489249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 146071489249 in words is "one hundred forty-six billion, seventy-one million, four hundred eighty-nine thousand, two hundred forty-nine".