66049514001 has 9 divisors (see below), whose sum is σ = 95405967241. Its totient is φ = 44032495332.

The previous prime is 66049513967. The next prime is 66049514029. The reversal of 66049514001 is 10041594066.

The square root of 66049514001 is 257001.

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

66049514001 is a `hidden beast` number, since 6 + 604 + 9 + 5 + 1 + 40 + 0 + 1 = 666.

66049514001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 66049514001 - 2²³ = 66041125393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66049514071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 728170 + ... + 813836.

Almost surely, 2^66049514001 is an apocalyptic number.

66049514001 is the 257001-st square number.

66049514001 is the 128501-st centered octagonal number.

It is an amenable number.

66049514001 is a deficient number, since it is larger than the sum of its proper divisors (29356453240).

66049514001 is an frugal number, since it uses more digits than its factorization.

66049514001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171340 (or 85670 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 66049514001 by its sum of digits (36), we get a square (2377782504036 = 1542006²).

The spelling of 66049514001 in words is "sixty-six billion, forty-nine million, five hundred fourteen thousand, one".