9101112366528 has 1344 divisors, whose sum is σ = 34087713587200. Its totient is φ = 2304433152000.

The previous prime is 9101112366517. The next prime is 9101112366529. The reversal of 9101112366528 is 8256632111019.

It is a happy number.

9101112366528 is a `hidden beast` number, since 9 + 1 + 0 + 1 + 112 + 3 + 6 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×9101112366528² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9101112366529) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12022605126 + ... + 12022605882.

Almost surely, 2^{9101112366528} is an apocalyptic number.

9101112366528 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9101112366528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17043856793600).

9101112366528 is an abundant number, since it is smaller than the sum of its proper divisors (24986601220672).

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

9101112366528 is a wasteful number, since it uses less digits than its factorization.

9101112366528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 9101112366528 in words is "nine trillion, one hundred one billion, one hundred twelve million, three hundred sixty-six thousand, five hundred twenty-eight".