9022009961664 has 168 divisors, whose sum is σ = 30353006774688. Its totient is φ = 2508049059840.

The previous prime is 9022009961641. The next prime is 9022009961687. The reversal of 9022009961664 is 4661699002209.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9022009961641) and next prime (9022009961687).

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9022009961664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30088677 + ... + 30387044.

Almost surely, 2^{9022009961664} is an apocalyptic number.

It is an amenable number.

9022009961664 is an abundant number, since it is smaller than the sum of its proper divisors (21330996813024).

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

9022009961664 is a wasteful number, since it uses less digits than its factorization.

9022009961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60475783 (or 60475770 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 9022009961664 in words is "nine trillion, twenty-two billion, nine million, nine hundred sixty-one thousand, six hundred sixty-four".