213677839368 has 288 divisors, whose sum is σ = 731491488000. Its totient is φ = 55971336960.

The previous prime is 213677839327. The next prime is 213677839429. The reversal of 213677839368 is 863938776312.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2026578 + ... + 2129406.

It is an arithmetic number, because the mean of its divisors is an integer number (2539901000).

Almost surely, 2^213677839368 is an apocalyptic number.

213677839368 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 213677839368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365745744000).

213677839368 is an abundant number, since it is smaller than the sum of its proper divisors (517813648632).

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

213677839368 is a wasteful number, since it uses less digits than its factorization.

213677839368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102905 (or 102891 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 213677839368 in words is "two hundred thirteen billion, six hundred seventy-seven million, eight hundred thirty-nine thousand, three hundred sixty-eight".