91118151807648 has 384 divisors, whose sum is σ = 284810629953024. Its totient is φ = 24964993843200.

The previous prime is 91118151807643. The next prime is 91118151807673. The reversal of 91118151807648 is 84670815181119.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 91118151807591 and 91118151807600.

It is not an unprimeable number, because it can be changed into a prime (91118151807643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2509225140 + ... + 2509261452.

It is an arithmetic number, because the mean of its divisors is an integer number (741694348836).

Almost surely, 2^{91118151807648} 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 91118151807648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142405314976512).

91118151807648 is an abundant number, since it is smaller than the sum of its proper divisors (193692478145376).

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

91118151807648 is a wasteful number, since it uses less digits than its factorization.

91118151807648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37928 (or 37920 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 60.

The spelling of 91118151807648 in words is "ninety-one trillion, one hundred eighteen billion, one hundred fifty-one million, eight hundred seven thousand, six hundred forty-eight".