91409829084 has 432 divisors, whose sum is σ = 295398405120. Its totient is φ = 23671388160.

The previous prime is 91409829067. The next prime is 91409829101. The reversal of 91409829084 is 48092890419.

It is an interprime number because it is at equal distance from previous prime (91409829067) and next prime (91409829101).

It is a self number, because there is not a number n which added to its sum of digits gives 91409829084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100782159 + ... + 100783065.

Almost surely, 2^91409829084 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 91409829084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147699202560).

91409829084 is an abundant number, since it is smaller than the sum of its proper divisors (203988576036).

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

91409829084 is a wasteful number, since it uses less digits than its factorization.

91409829084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 91409829084 in words is "ninety-one billion, four hundred nine million, eight hundred twenty-nine thousand, eighty-four".