9136198656 has 440 divisors, whose sum is σ = 30306981320. Its totient is φ = 2723217408.

The previous prime is 9136198559. The next prime is 9136198661. The reversal of 9136198656 is 6568916319.

9136198656 is a `hidden beast` number, since 9 + 13 + 619 + 8 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3657830400 + 5478368256 = 60480^2 + 74016^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39895950 + ... + 39896178.

It is an arithmetic number, because the mean of its divisors is an integer number (68879503).

Almost surely, 2^9136198656 is an apocalyptic number.

9136198656 is a gapful number since it is divisible by the number (96) 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 9136198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153490660).

9136198656 is an abundant number, since it is smaller than the sum of its proper divisors (21170782664).

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

9136198656 is a wasteful number, since it uses less digits than its factorization.

9136198656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 9136198656 is about 95583.4643439962. The cubic root of 9136198656 is about 2090.5240977101.

The spelling of 9136198656 in words is "nine billion, one hundred thirty-six million, one hundred ninety-eight thousand, six hundred fifty-six".