213778877312 has 128 divisors (see below), whose sum is σ = 571821465600. Its totient is φ = 76883466240.

The previous prime is 213778877293. The next prime is 213778877317.

213778877312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213778877317) 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 15 ways as a sum of consecutive naturals, for example, 706112 + ... + 962367.

It is an arithmetic number, because the mean of its divisors is an integer number (4467355200).

Almost surely, 2^213778877312 is an apocalyptic number.

213778877312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213778877312 is an abundant number, since it is smaller than the sum of its proper divisors (358042588288).

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

213778877312 is a wasteful number, since it uses less digits than its factorization.

213778877312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668524 (or 1668512 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 56.

The spelling of 213778877312 in words is "two hundred thirteen billion, seven hundred seventy-eight million, eight hundred seventy-seven thousand, three hundred twelve".