91015946112 has 384 divisors, whose sum is σ = 306582917760. Its totient is φ = 23709708288.

The previous prime is 91015946041. The next prime is 91015946117. The reversal of 91015946112 is 21164951019.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91015946117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20300223 + ... + 20304705.

It is an arithmetic number, because the mean of its divisors is an integer number (798393015).

Almost surely, 2^91015946112 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 91015946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153291458880).

91015946112 is an abundant number, since it is smaller than the sum of its proper divisors (215566971648).

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

91015946112 is a wasteful number, since it uses less digits than its factorization.

91015946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The spelling of 91015946112 in words is "ninety-one billion, fifteen million, nine hundred forty-six thousand, one hundred twelve".