213459303876 has 576 divisors, whose sum is σ = 684730368000. Its totient is φ = 51514444800.

The previous prime is 213459303859. The next prime is 213459303929. The reversal of 213459303876 is 678303954312.

It is a super-2 number, since 2×213459303876² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 409710496 + ... + 409711016.

It is an arithmetic number, because the mean of its divisors is an integer number (1188768000).

It is a 1-persistent number, because it is pandigital, but 2⋅213459303876 = 426918607752 is not.

Almost surely, 2^213459303876 is an apocalyptic number.

213459303876 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 213459303876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342365184000).

213459303876 is an abundant number, since it is smaller than the sum of its proper divisors (471271064124).

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

213459303876 is a wasteful number, since it uses less digits than its factorization.

213459303876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 213459303876 in words is "two hundred thirteen billion, four hundred fifty-nine million, three hundred three thousand, eight hundred seventy-six".