146852208863667 has 48 divisors (see below), whose sum is σ = 216105396474240. Its totient is φ = 96078860332416.

The previous prime is 146852208863579. The next prime is 146852208863741. The reversal of 146852208863667 is 766368802258641.

146852208863667 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 52 + 208 + 8 + 6 + 366 + 7 = 666.

It is not a de Polignac number, because 146852208863667 - 2³⁰ = 146851135121843 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 146852208863595 and 146852208863604.

It is not an unprimeable number, because it can be changed into a prime (146852208861667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124703028 + ... + 125875134.

It is an arithmetic number, because the mean of its divisors is an integer number (4502195759880).

Almost surely, 2^{146852208863667} is an apocalyptic number.

146852208863667 is a deficient number, since it is larger than the sum of its proper divisors (69253187610573).

146852208863667 is a wasteful number, since it uses less digits than its factorization.

146852208863667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173312 (or 1173309 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 146852208863667 in words is "one hundred forty-six trillion, eight hundred fifty-two billion, two hundred eight million, eight hundred sixty-three thousand, six hundred sixty-seven".