145214743058064 has 45 divisors (see below), whose sum is σ = 406399998116073. Its totient is φ = 48404866150656.

The previous prime is 145214743058059. The next prime is 145214743058123. The reversal of 145214743058064 is 460850347412541.

The square root of 145214743058064 is 12050508.

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

145214743058064 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 1 + 474 + 30 + 5 + 80 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152952952464 + 145061790105600 = 391092^2 + 12044160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145214743058064.

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 8 ways as a sum of consecutive naturals, for example, 144103992 + ... + 145108200.

Almost surely, 2^{145214743058064} is an apocalyptic number.

145214743058064 is the 12050508-th square number.

It is an amenable number.

145214743058064 is an abundant number, since it is smaller than the sum of its proper divisors (261185255058009).

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

145214743058064 is an frugal number, since it uses more digits than its factorization.

145214743058064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008432 (or 1004214 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 145214743058064 in words is "one hundred forty-five trillion, two hundred fourteen billion, seven hundred forty-three million, fifty-eight thousand, sixty-four".