146656774497249 has 15 divisors (see below), whose sum is σ = 219080035829347. Its totient is φ = 97771110337008.

The previous prime is 146656774497209. The next prime is 146656774497319. The reversal of 146656774497249 is 942794477656641.

The square root of 146656774497249 is 12110193.

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

146656774497249 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 5 + 67 + 7 + 449 + 72 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36410302469025 + 110246472028224 = 6034095^2 + 10499832^2 .

It is not a de Polignac number, because 146656774497249 - 2¹⁷ = 146656774366177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146656774497209) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 108318949 + ... + 109664525.

Almost surely, 2^{146656774497249} is an apocalyptic number.

146656774497249 is the 12110193-rd square number.

146656774497249 is the 6055097-th centered octagonal number.

It is an amenable number.

146656774497249 is a deficient number, since it is larger than the sum of its proper divisors (72423261332098).

146656774497249 is an frugal number, since it uses more digits than its factorization.

146656774497249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691166 (or 1345580 counting only the distinct ones).

The product of its digits is 15362887680, while the sum is 81.

146656774497249 divided by its sum of digits (81) gives a square (1810577462929 = 1345577²).

The spelling of 146656774497249 in words is "one hundred forty-six trillion, six hundred fifty-six billion, seven hundred seventy-four million, four hundred ninety-seven thousand, two hundred forty-nine".