146727936399 has 32 divisors (see below), whose sum is σ = 214961299200. Its totient is φ = 88285433600.

The previous prime is 146727936359. The next prime is 146727936401. The reversal of 146727936399 is 993639727641.

It is a cyclic number.

It is not a de Polignac number, because 146727936399 - 2¹⁷ = 146727805327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146727936359) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11848699 + ... + 11861075.

It is an arithmetic number, because the mean of its divisors is an integer number (6717540600).

Almost surely, 2^146727936399 is an apocalyptic number.

146727936399 is a deficient number, since it is larger than the sum of its proper divisors (68233362801).

146727936399 is a wasteful number, since it uses less digits than its factorization.

146727936399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14951.

The product of its digits is 92588832, while the sum is 66.

The spelling of 146727936399 in words is "one hundred forty-six billion, seven hundred twenty-seven million, nine hundred thirty-six thousand, three hundred ninety-nine".