1473364305306 has 96 divisors (see below), whose sum is σ = 3352939978752. Its totient is φ = 466694917920.

The previous prime is 1473364305289. The next prime is 1473364305317. The reversal of 1473364305306 is 6035034633741.

1473364305306 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 36 + 4 + 305 + 306 = 666.

It is a super-2 number, since 2×1473364305306² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45313851 + ... + 45346353.

It is an arithmetic number, because the mean of its divisors is an integer number (34926458112).

Almost surely, 2^{1473364305306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1473364305306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676469989376).

1473364305306 is an abundant number, since it is smaller than the sum of its proper divisors (1879575673446).

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

1473364305306 is a wasteful number, since it uses less digits than its factorization.

1473364305306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33248 (or 33245 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 1473364305306 in words is "one trillion, four hundred seventy-three billion, three hundred sixty-four million, three hundred five thousand, three hundred six".