1014897206016 has 216 divisors, whose sum is σ = 3213084433104. Its totient is φ = 318398791680.

The previous prime is 1014897206003. The next prime is 1014897206021. The reversal of 1014897206016 is 6106027984101.

1014897206016 is a `hidden beast` number, since 1 + 0 + 14 + 8 + 9 + 7 + 20 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577696 + ... + 1537376.

It is an arithmetic number, because the mean of its divisors is an integer number (14875390894).

Almost surely, 2^{1014897206016} is an apocalyptic number.

1014897206016 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 1014897206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606542216552).

1014897206016 is an abundant number, since it is smaller than the sum of its proper divisors (2198187227088).

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

1014897206016 is an frugal number, since it uses more digits than its factorization.

1014897206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959729 (or 959703 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1014897206016 in words is "one trillion, fourteen billion, eight hundred ninety-seven million, two hundred six thousand, sixteen".