91271064911312 has 120 divisors (see below), whose sum is σ = 208923539376960. Its totient is φ = 38290295946240.

The previous prime is 91271064911303. The next prime is 91271064911347. The reversal of 91271064911312 is 21311946017219.

91271064911312 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×91271064911312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220404389 + ... + 220818107.

It is an arithmetic number, because the mean of its divisors is an integer number (1741029494808).

Almost surely, 2^{91271064911312} 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 91271064911312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104461769688480).

91271064911312 is an abundant number, since it is smaller than the sum of its proper divisors (117652474465648).

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

91271064911312 is a wasteful number, since it uses less digits than its factorization.

91271064911312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421181 (or 421162 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The spelling of 91271064911312 in words is "ninety-one trillion, two hundred seventy-one billion, sixty-four million, nine hundred eleven thousand, three hundred twelve".