91909145900 has 216 divisors, whose sum is σ = 236565733824. Its totient is φ = 30724012800.

The previous prime is 91909145869. The next prime is 91909145953. The reversal of 91909145900 is 954190919.

It is a happy number.

It is a super-2 number, since 2×91909145900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52608827 + ... + 52610573.

Almost surely, 2^91909145900 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 91909145900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118282866912).

91909145900 is an abundant number, since it is smaller than the sum of its proper divisors (144656587924).

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

91909145900 is a wasteful number, since it uses less digits than its factorization.

91909145900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 47.

The spelling of 91909145900 in words is "ninety-one billion, nine hundred nine million, one hundred forty-five thousand, nine hundred".