213867440107776 has 3456 divisors, whose sum is σ = 885557091041280. Its totient is φ = 49426395955200.

The previous prime is 213867440107771. The next prime is 213867440107777. The reversal of 213867440107776 is 677701044768312.

It is a happy number.

213867440107776 is a `hidden beast` number, since 2 + 1 + 3 + 86 + 7 + 440 + 107 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (213867440107771) 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 383 ways as a sum of consecutive naturals, for example, 161898137196 + ... + 161898138516.

Almost surely, 2^{213867440107776} is an apocalyptic number.

213867440107776 is a gapful number since it is divisible by the number (26) 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 213867440107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442778545520640).

213867440107776 is an abundant number, since it is smaller than the sum of its proper divisors (671689650933504).

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

213867440107776 is a wasteful number, since it uses less digits than its factorization.

213867440107776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 213867440107776 in words is "two hundred thirteen trillion, eight hundred sixty-seven billion, four hundred forty million, one hundred seven thousand, seven hundred seventy-six".