213036623719296 has 512 divisors, whose sum is σ = 638984559897600. Its totient is φ = 62825587089408.

The previous prime is 213036623719267. The next prime is 213036623719393. The reversal of 213036623719296 is 692917326630312.

It is a super-2 number, since 2×213036623719296² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2091352461 + ... + 2091454323.

It is an arithmetic number, because the mean of its divisors is an integer number (1248016718550).

Almost surely, 2^{213036623719296} is an apocalyptic number.

213036623719296 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 213036623719296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319492279948800).

213036623719296 is an abundant number, since it is smaller than the sum of its proper divisors (425947936178304).

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

213036623719296 is a wasteful number, since it uses less digits than its factorization.

213036623719296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102023 (or 101985 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 60.

The spelling of 213036623719296 in words is "two hundred thirteen trillion, thirty-six billion, six hundred twenty-three million, seven hundred nineteen thousand, two hundred ninety-six".