9514522213416 has 512 divisors, whose sum is σ = 29563630387200. Its totient is φ = 2811131032320.

The previous prime is 9514522213409. The next prime is 9514522213429. The reversal of 9514522213416 is 6143122254159.

9514522213416 is a `hidden beast` number, since 9 + 5 + 1 + 4 + 5 + 2 + 221 + 3 + 416 = 666.

9514522213416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9514522213416² (a number of 27 digits) contains 22 as substring.

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, 7779657781 + ... + 7779659003.

It is an arithmetic number, because the mean of its divisors is an integer number (57741465600).

Almost surely, 2^{9514522213416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9514522213416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781815193600).

9514522213416 is an abundant number, since it is smaller than the sum of its proper divisors (20049108173784).

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

9514522213416 is a wasteful number, since it uses less digits than its factorization.

9514522213416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1808 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 9514522213416 in words is "nine trillion, five hundred fourteen billion, five hundred twenty-two million, two hundred thirteen thousand, four hundred sixteen".