146448335309056 has 243 divisors, whose sum is σ = 332917796897049. Its totient is φ = 64244889139200.

The previous prime is 146448335309009. The next prime is 146448335309113. The reversal of 146448335309056 is 650903533844641.

The square root of 146448335309056 is 12101584.

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., 76793954662656 + 69654380646400 = 8763216^2 + 8345920^2 .

It is a super-2 number, since 2×146448335309056² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146448335308985 and 146448335309003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61766483551 + ... + 61766485921.

Almost surely, 2^{146448335309056} is an apocalyptic number.

146448335309056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146448335309056 is the 12101584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146448335309056

146448335309056 is an abundant number, since it is smaller than the sum of its proper divisors (186469461587993).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146448335309056 is an frugal number, since it uses more digits than its factorization.

146448335309056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 61.

The spelling of 146448335309056 in words is "one hundred forty-six trillion, four hundred forty-eight billion, three hundred thirty-five million, three hundred nine thousand, fifty-six".