12173455946304 has 441 divisors, whose sum is σ = 37577927945467. Its totient is φ = 3910859947008.

The previous prime is 12173455946263. The next prime is 12173455946359. The reversal of 12173455946304 is 40364955437121.

The square root of 12173455946304 is 3489048.

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

12173455946304 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 3 + 45 + 594 + 6 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2401880040000 + 9771575906304 = 1549800^2 + 3125952^2 .

It is a super-2 number, since 2×12173455946304² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 21855396394 + ... + 21855396950.

Almost surely, 2^{12173455946304} is an apocalyptic number.

12173455946304 is the 3489048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12173455946304

12173455946304 is an abundant number, since it is smaller than the sum of its proper divisors (25404471999163).

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

12173455946304 is an frugal number, since it uses more digits than its factorization.

12173455946304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 12173455946304 in words is "twelve trillion, one hundred seventy-three billion, four hundred fifty-five million, nine hundred forty-six thousand, three hundred four".