546553140082576 has 135 divisors (see below), whose sum is σ = 1170453534133107. Its totient is φ = 247056253255680.

The previous prime is 546553140082559. The next prime is 546553140082577. The reversal of 546553140082576 is 675280041355645.

It is a happy number.

The square root of 546553140082576 is 23378476.

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 32678646642576 + 513874493440000 = 5716524^2 + 22668800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (546553140082577) 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, 198530016816 + ... + 198530019568.

Almost surely, 2^{546553140082576} is an apocalyptic number.

546553140082576 is the 23378476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546553140082576

546553140082576 is an abundant number, since it is smaller than the sum of its proper divisors (623900394050531).

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

546553140082576 is an frugal number, since it uses more digits than its factorization.

546553140082576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 61.

The spelling of 546553140082576 in words is "five hundred forty-six trillion, five hundred fifty-three billion, one hundred forty million, eighty-two thousand, five hundred seventy-six".