213246116074464 has 768 divisors, whose sum is σ = 655839041421312. Its totient is φ = 60058091520000.

The previous prime is 213246116074451. The next prime is 213246116074477. The reversal of 213246116074464 is 464470611642312.

It is an interprime number because it is at equal distance from previous prime (213246116074451) and next prime (213246116074477).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82239148752 + ... + 82239151344.

It is an arithmetic number, because the mean of its divisors is an integer number (853957085184).

Almost surely, 2^{213246116074464} is an apocalyptic number.

213246116074464 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 213246116074464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327919520710656).

213246116074464 is an abundant number, since it is smaller than the sum of its proper divisors (442592925346848).

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

213246116074464 is a wasteful number, since it uses less digits than its factorization.

213246116074464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 213246116074464 in words is "two hundred thirteen trillion, two hundred forty-six billion, one hundred sixteen million, seventy-four thousand, four hundred sixty-four".