9141205536 has 192 divisors, whose sum is σ = 27792979200. Its totient is φ = 2919426048.

The previous prime is 9141205517. The next prime is 9141205571. The reversal of 9141205536 is 6355021419.

9141205536 is a `hidden beast` number, since 91 + 4 + 12 + 0 + 553 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9141205536.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3431341 + ... + 3434003.

It is an arithmetic number, because the mean of its divisors is an integer number (144755100).

Almost surely, 2^9141205536 is an apocalyptic number.

9141205536 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 9141205536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896489600).

9141205536 is an abundant number, since it is smaller than the sum of its proper divisors (18651773664).

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

9141205536 is a wasteful number, since it uses less digits than its factorization.

9141205536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9141205536 is about 95609.6518977033. The cubic root of 9141205536 is about 2090.9059155830.

The spelling of 9141205536 in words is "nine billion, one hundred forty-one million, two hundred five thousand, five hundred thirty-six".