146496140466481 has 27 divisors (see below), whose sum is σ = 161285637247137. Its totient is φ = 133001652569760.

The previous prime is 146496140466437. The next prime is 146496140466517. The reversal of 146496140466481 is 184664041694641.

The square root of 146496140466481 is 12103559.

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

It can be written as a sum of positive squares in 4 ways, for example, as 103020368511025 + 43475771955456 = 10149895^2 + 6593616^2 .

It is not a de Polignac number, because 146496140466481 - 2⁷ = 146496140466353 is a prime.

It is a super-2 number, since 2×146496140466481² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146496140466421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9598114656 + ... + 9598129918.

Almost surely, 2^{146496140466481} is an apocalyptic number.

146496140466481 is the 12103559-th square number.

146496140466481 is the 6051780-th centered octagonal number.

It is an amenable number.

146496140466481 is a deficient number, since it is larger than the sum of its proper divisors (14789496780656).

146496140466481 is an frugal number, since it uses more digits than its factorization.

146496140466481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30674 (or 15337 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 64.

The spelling of 146496140466481 in words is "one hundred forty-six trillion, four hundred ninety-six billion, one hundred forty million, four hundred sixty-six thousand, four hundred eighty-one".