145346612006304 has 36 divisors (see below), whose sum is σ = 413329427893746. Its totient is φ = 48448870668672.

The previous prime is 145346612006261. The next prime is 145346612006333. The reversal of 145346612006304 is 403600216643541.

145346612006304 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 6 + 6 + 1 + 2 + 0 + 0 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82605194787600 + 62741417218704 = 9088740^2 + 7920948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×145346612006304² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145346612006304.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252337867779 + ... + 252337868354.

Almost surely, 2^{145346612006304} is an apocalyptic number.

It is an amenable number.

145346612006304 is an abundant number, since it is smaller than the sum of its proper divisors (267982815887442).

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

145346612006304 is a wasteful number, since it uses less digits than its factorization.

145346612006304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504675736149 (or 504675736138 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 145346612006304 its reverse (403600216643541), we get a palindrome (548946828649845).

The spelling of 145346612006304 in words is "one hundred forty-five trillion, three hundred forty-six billion, six hundred twelve million, six thousand, three hundred four".