91432029168000 has 768 divisors, whose sum is σ = 354446845833600. Its totient is φ = 22517569536000.

The previous prime is 91432029167989. The next prime is 91432029168001. The reversal of 91432029168000 is 86192023419.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91432029168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95572030 + ... + 96523970.

Almost surely, 2^{91432029168000} is an apocalyptic number.

91432029168000 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 91432029168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177223422916800).

91432029168000 is an abundant number, since it is smaller than the sum of its proper divisors (263014816665600).

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

91432029168000 is a wasteful number, since it uses less digits than its factorization.

91432029168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952028 (or 952003 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 91432029168000 in words is "ninety-one trillion, four hundred thirty-two billion, twenty-nine million, one hundred sixty-eight thousand".