213061762368 has 1176 divisors, whose sum is σ = 813503531232. Its totient is φ = 54836103168.

The previous prime is 213061762363. The next prime is 213061762369. The reversal of 213061762368 is 863267160312.

213061762368 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 6 + 17 + 623 + 6 + 8 = 666.

213061762368 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 (1176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213061762363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1991231371 + ... + 1991231477.

Almost surely, 2^213061762368 is an apocalyptic number.

213061762368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213061762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406751765616).

213061762368 is an abundant number, since it is smaller than the sum of its proper divisors (600441768864).

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

213061762368 is a wasteful number, since it uses less digits than its factorization.

213061762368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 213061762368 in words is "two hundred thirteen billion, sixty-one million, seven hundred sixty-two thousand, three hundred sixty-eight".