212577948168144 has 80 divisors (see below), whose sum is σ = 597144527720832. Its totient is φ = 64773564470784.

The previous prime is 212577948168119. The next prime is 212577948168149. The reversal of 212577948168144 is 441861849775212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212577948168149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1653672567 + ... + 1653801110.

Almost surely, 2^{212577948168144} is an apocalyptic number.

212577948168144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212577948168144 is an abundant number, since it is smaller than the sum of its proper divisors (384566579552688).

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

212577948168144 is a wasteful number, since it uses less digits than its factorization.

212577948168144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307473804 (or 3307473798 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 69.

The spelling of 212577948168144 in words is "two hundred twelve trillion, five hundred seventy-seven billion, nine hundred forty-eight million, one hundred sixty-eight thousand, one hundred forty-four".