146845305616 has 15 divisors (see below), whose sum is σ = 284515749493. Its totient is φ = 73421886400.

The previous prime is 146845305599. The next prime is 146845305697. The reversal of 146845305616 is 616503548641.

The square root of 146845305616 is 383204.

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., 110226656016 + 36618649600 = 332004^2 + 191360^2 .

It is a super-2 number, since 2×146845305616² (a number of 23 digits) contains 22 as substring.

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 146845305616.

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 2 ways as a sum of consecutive naturals, for example, 1484916 + ... + 1580716.

Almost surely, 2^146845305616 is an apocalyptic number.

146845305616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146845305616 is the 383204-th square number.

It is an amenable number.

146845305616 is a deficient number, since it is larger than the sum of its proper divisors (137670443877).

146845305616 is an frugal number, since it uses more digits than its factorization.

146845305616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191610 (or 95803 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 146845305616 by its sum of digits (49), we get a square (7195419975184 = 2682428²).

The spelling of 146845305616 in words is "one hundred forty-six billion, eight hundred forty-five million, three hundred five thousand, six hundred sixteen".