91125000000 has 490 divisors, whose sum is σ = 338894008266. Its totient is φ = 24300000000.

The previous prime is 91124999981. The next prime is 91125000007. The reversal of 91125000000 is 52119.

The cubic root of 91125000000 is 4500.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 24052287744 + 67072712256 = 155088^2 + 258984^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91125000007) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 18224999998 + ... + 18225000002.

Almost surely, 2^91125000000 is an apocalyptic number.

91125000000 is a gapful number since it is divisible by the number (90) 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 91125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169447004133).

91125000000 is an abundant number, since it is smaller than the sum of its proper divisors (247769008266).

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

91125000000 is an frugal number, since it uses more digits than its factorization.

91125000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 91125000000 its reverse (52119), we get a palindrome (91125052119).

The spelling of 91125000000 in words is "ninety-one billion, one hundred twenty-five million", and thus it is an aban number.