9357432056064 has 567 divisors, whose sum is σ = 28689271703883. Its totient is φ = 3044700389376.

The previous prime is 9357432056029. The next prime is 9357432056099. The reversal of 9357432056064 is 4606502347539.

The square root of 9357432056064 is 3058992.

It is a perfect power (a square), and thus also a powerful number.

9357432056064 is a `hidden beast` number, since 9 + 3 + 5 + 7 + 4 + 3 + 20 + 5 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9357432056029) and next prime (9357432056099).

It can be written as a sum of positive squares in 4 ways, for example, as 2642782464 + 9354789273600 = 51408^2 + 3058560^2 .

It is a super-3 number, since 3×9357432056064³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9357432056064.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 96468371664 + ... + 96468371760.

Almost surely, 2^{9357432056064} is an apocalyptic number.

9357432056064 is the 3058992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9357432056064

9357432056064 is an abundant number, since it is smaller than the sum of its proper divisors (19331839647819).

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

9357432056064 is an frugal number, since it uses more digits than its factorization.

9357432056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 9357432056064 in words is "nine trillion, three hundred fifty-seven billion, four hundred thirty-two million, fifty-six thousand, sixty-four".