9649456128 has 528 divisors, whose sum is σ = 32963577920. Its totient is φ = 2794881024.

The previous prime is 9649456097. The next prime is 9649456129. The reversal of 9649456128 is 8216549469.

9649456128 is a `hidden beast` number, since 9 + 64 + 9 + 456 + 128 = 666.

It is a super-2 number, since 2×9649456128² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9649456129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61461426 + ... + 61461582.

Almost surely, 2^9649456128 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 9649456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481788960).

9649456128 is an abundant number, since it is smaller than the sum of its proper divisors (23314121792).

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

9649456128 is a wasteful number, since it uses less digits than its factorization.

9649456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 9649456128 is about 98231.6452473438. The cubic root of 9649456128 is about 2128.9605402277.

The spelling of 9649456128 in words is "nine billion, six hundred forty-nine million, four hundred fifty-six thousand, one hundred twenty-eight".