213246612453520 has 80 divisors (see below), whose sum is σ = 499531377945600. Its totient is φ = 84657337920000.

The previous prime is 213246612453491. The next prime is 213246612453541. The reversal of 213246612453520 is 25354216642312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7407145 + ... + 21939895.

It is an arithmetic number, because the mean of its divisors is an integer number (6244142224320).

Almost surely, 2^{213246612453520} is an apocalyptic number.

213246612453520 is a gapful number since it is divisible by the number (20) 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 213246612453520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249765688972800).

213246612453520 is an abundant number, since it is smaller than the sum of its proper divisors (286284765492080).

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

213246612453520 is a wasteful number, since it uses less digits than its factorization.

213246612453520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14534144 (or 14534138 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 213246612453520 in words is "two hundred thirteen trillion, two hundred forty-six billion, six hundred twelve million, four hundred fifty-three thousand, five hundred twenty".