216313311220410 has 256 divisors, whose sum is σ = 575236208977920. Its totient is φ = 51825056808960.

The previous prime is 216313311220381. The next prime is 216313311220481. The reversal of 216313311220410 is 14022113313612.

216313311220410 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216313311220410² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3821964232 + ... + 3822020828.

It is an arithmetic number, because the mean of its divisors is an integer number (2247016441320).

Almost surely, 2^{216313311220410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216313311220410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287618104488960).

216313311220410 is an abundant number, since it is smaller than the sum of its proper divisors (358922897757510).

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

216313311220410 is a wasteful number, since it uses less digits than its factorization.

216313311220410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60601.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 216313311220410 in words is "two hundred sixteen trillion, three hundred thirteen billion, three hundred eleven million, two hundred twenty thousand, four hundred ten".