9251061664 has 96 divisors (see below), whose sum is σ = 20310441984. Its totient is φ = 4118999040.

The previous prime is 9251061647. The next prime is 9251061671. The reversal of 9251061664 is 4661601529.

It is a happy number.

It is a super-2 number, since 2×9251061664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4938232 + ... + 4940104.

It is an arithmetic number, because the mean of its divisors is an integer number (211567104).

Almost surely, 2^9251061664 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 9251061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155220992).

9251061664 is an abundant number, since it is smaller than the sum of its proper divisors (11059380320).

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

9251061664 is a wasteful number, since it uses less digits than its factorization.

9251061664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 9251061664 is about 96182.4394783164. The cubic root of 9251061664 is about 2099.2485341503.

The spelling of 9251061664 in words is "nine billion, two hundred fifty-one million, sixty-one thousand, six hundred sixty-four".