91316091267072 has 2304 divisors, whose sum is σ = 353541936384000. Its totient is φ = 23075684352000.

The previous prime is 91316091266993. The next prime is 91316091267119. The reversal of 91316091267072 is 27076219061319.

91316091267072 is a `hidden beast` number, since 9 + 1 + 3 + 1 + 609 + 1 + 26 + 7 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 132150638247 + ... + 132150638937.

It is an arithmetic number, because the mean of its divisors is an integer number (153447021000).

Almost surely, 2^{91316091267072} 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 91316091267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176770968192000).

91316091267072 is an abundant number, since it is smaller than the sum of its proper divisors (262225845116928).

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

91316091267072 is a wasteful number, since it uses less digits than its factorization.

91316091267072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 91316091267072 in words is "ninety-one trillion, three hundred sixteen billion, ninety-one million, two hundred sixty-seven thousand, seventy-two".