9101643408 has 400 divisors, whose sum is σ = 31452945216. Its totient is φ = 2504494080.

The previous prime is 9101643403. The next prime is 9101643433. The reversal of 9101643408 is 8043461019.

9101643408 is a `hidden beast` number, since 9 + 1 + 0 + 1 + 643 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9101643403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12416610 + ... + 12417342.

Almost surely, 2^9101643408 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 9101643408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726472608).

9101643408 is an abundant number, since it is smaller than the sum of its proper divisors (22351301808).

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

9101643408 is a wasteful number, since it uses less digits than its factorization.

9101643408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9101643408 is about 95402.5335512637. The cubic root of 9101643408 is about 2087.8851502425.

The spelling of 9101643408 in words is "nine billion, one hundred one million, six hundred forty-three thousand, four hundred eight".