1216513014016 has 72 divisors (see below), whose sum is σ = 2445460343480. Its totient is φ = 603965915136.

The previous prime is 1216513013987. The next prime is 1216513014049. The reversal of 1216513014016 is 6104103156121.

It can be written as a sum of positive squares in 4 ways, for example, as 227872569600 + 988640444416 = 477360^2 + 994304^2 .

It is a super-2 number, since 2×1216513014016² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21838936 + ... + 21894568.

Almost surely, 2^{1216513014016} is an apocalyptic number.

1216513014016 is a gapful number since it is divisible by the number (16) 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 1216513014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222730171740).

1216513014016 is an abundant number, since it is smaller than the sum of its proper divisors (1228947329464).

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

1216513014016 is an equidigital number, since it uses as much as digits as its factorization.

1216513014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56251 (or 56237 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 1216513014016 in words is "one trillion, two hundred sixteen billion, five hundred thirteen million, fourteen thousand, sixteen".