91295145018 has 384 divisors, whose sum is σ = 265203154944. Its totient is φ = 22010227200.

The previous prime is 91295145017. The next prime is 91295145043. The reversal of 91295145018 is 81054159219.

91295145018 is a `hidden beast` number, since 9 + 129 + 5 + 14 + 501 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (91295145017) 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, 107027880 + ... + 107028732.

It is an arithmetic number, because the mean of its divisors is an integer number (690633216).

Almost surely, 2^91295145018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91295145018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132601577472).

91295145018 is an abundant number, since it is smaller than the sum of its proper divisors (173908009926).

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

91295145018 is a wasteful number, since it uses less digits than its factorization.

91295145018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 91295145018 in words is "ninety-one billion, two hundred ninety-five million, one hundred forty-five thousand, eighteen".