1546312146064 has 135 divisors (see below), whose sum is σ = 3531795686937. Its totient is φ = 653945935104.

The previous prime is 1546312146059. The next prime is 1546312146073. The reversal of 1546312146064 is 4606412136451.

The square root of 1546312146064 is 1243508.

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., 296924728464 + 1249387417600 = 544908^2 + 1117760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1546312146064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3098821687 + ... + 3098822185.

Almost surely, 2^{1546312146064} is an apocalyptic number.

1546312146064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1546312146064 is the 1243508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1546312146064

1546312146064 is an abundant number, since it is smaller than the sum of its proper divisors (1985483540873).

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

1546312146064 is an frugal number, since it uses more digits than its factorization.

1546312146064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 1546312146064 in words is "one trillion, five hundred forty-six billion, three hundred twelve million, one hundred forty-six thousand, sixty-four".