91314403231128 has 512 divisors, whose sum is σ = 308010221568000. Its totient is φ = 21835079884800.

The previous prime is 91314403231123. The next prime is 91314403231157. The reversal of 91314403231128 is 82113230441319.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 91314403231128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91314403231123) 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 127 ways as a sum of consecutive naturals, for example, 283116898 + ... + 283439246.

It is an arithmetic number, because the mean of its divisors is an integer number (601582464000).

Almost surely, 2^{91314403231128} 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 91314403231128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154005110784000).

91314403231128 is an abundant number, since it is smaller than the sum of its proper divisors (216695818336872).

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

91314403231128 is a wasteful number, since it uses less digits than its factorization.

91314403231128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322591 (or 322587 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 91314403231128 in words is "ninety-one trillion, three hundred fourteen billion, four hundred three million, two hundred thirty-one thousand, one hundred twenty-eight".