213873606144 has 480 divisors, whose sum is σ = 720024228000. Its totient is φ = 62561157120.

The previous prime is 213873606139. The next prime is 213873606211. The reversal of 213873606144 is 441606378312.

213873606144 is a `hidden beast` number, since 2 + 1 + 38 + 7 + 3 + 606 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213873606144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48506212 + ... + 48510620.

It is an arithmetic number, because the mean of its divisors is an integer number (1500050475).

Almost surely, 2^213873606144 is an apocalyptic number.

213873606144 is a gapful number since it is divisible by the number (24) 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 213873606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360012114000).

213873606144 is an abundant number, since it is smaller than the sum of its proper divisors (506150621856).

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

213873606144 is a wasteful number, since it uses less digits than its factorization.

213873606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 213873606144 in words is "two hundred thirteen billion, eight hundred seventy-three million, six hundred six thousand, one hundred forty-four".