1214066301616 has 160 divisors (see below), whose sum is σ = 2777643648000. Its totient is φ = 503370685440.

The previous prime is 1214066301551. The next prime is 1214066301649. The reversal of 1214066301616 is 6161036604121.

It is a super-2 number, since 2×1214066301616² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104844915 + ... + 104856493.

It is an arithmetic number, because the mean of its divisors is an integer number (17360272800).

Almost surely, 2^{1214066301616} is an apocalyptic number.

1214066301616 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 1214066301616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388821824000).

1214066301616 is an abundant number, since it is smaller than the sum of its proper divisors (1563577346384).

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

1214066301616 is a wasteful number, since it uses less digits than its factorization.

1214066301616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11907 (or 11901 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 1214066301616 in words is "one trillion, two hundred fourteen billion, sixty-six million, three hundred one thousand, six hundred sixteen".