9442145664 has 384 divisors, whose sum is σ = 32445204480. Its totient is φ = 2579005440.

The previous prime is 9442145659. The next prime is 9442145677. The reversal of 9442145664 is 4665412449.

9442145664 is a `hidden beast` number, since 9 + 442 + 145 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9442145664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26748112 + ... + 26748464.

It is an arithmetic number, because the mean of its divisors is an integer number (84492720).

Almost surely, 2^9442145664 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 9442145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222602240).

9442145664 is an abundant number, since it is smaller than the sum of its proper divisors (23003058816).

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

9442145664 is a wasteful number, since it uses less digits than its factorization.

9442145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 9442145664 is about 97170.7037331726. The cubic root of 9442145664 is about 2113.6037233826.

The spelling of 9442145664 in words is "nine billion, four hundred forty-two million, one hundred forty-five thousand, six hundred sixty-four".