146377403649 has 27 divisors (see below), whose sum is σ = 214492837923. Its totient is φ = 96193062432.

The previous prime is 146377403647. The next prime is 146377403651. The reversal of 146377403649 is 946304773641.

The square root of 146377403649 is 382593.

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

146377403649 is a `hidden beast` number, since 1 + 463 + 77 + 40 + 36 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (146377403647) and next prime (146377403651).

It can be written as a sum of positive squares in only one way, i.e., 83090945025 + 63286458624 = 288255^2 + 251568^2 .

It is not a de Polignac number, because 146377403649 - 2¹ = 146377403647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146377403595 and 146377403604.

It is not an unprimeable number, because it can be changed into a prime (146377403647) 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, 83786994 + ... + 83788740.

Almost surely, 2^146377403649 is an apocalyptic number.

146377403649 is the 382593-rd square number.

146377403649 is the 191297-th centered octagonal number.

It is an amenable number.

146377403649 is a deficient number, since it is larger than the sum of its proper divisors (68115434274).

146377403649 is an frugal number, since it uses more digits than its factorization.

146377403649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 146377403649 in words is "one hundred forty-six billion, three hundred seventy-seven million, four hundred three thousand, six hundred forty-nine".