91275336456192 has 768 divisors, whose sum is σ = 313332364800000. Its totient is φ = 26035965001728.

The previous prime is 91275336456191. The next prime is 91275336456193. The reversal of 91275336456192 is 29165463357219.

91275336456192 is a `hidden beast` number, since 9 + 1 + 2 + 7 + 5 + 3 + 3 + 6 + 4 + 5 + 619 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (91275336456191) and next prime (91275336456193).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91275336456191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22542684184 + ... + 22542688232.

It is an arithmetic number, because the mean of its divisors is an integer number (407984850000).

Almost surely, 2^{91275336456192} 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 91275336456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156666182400000).

91275336456192 is an abundant number, since it is smaller than the sum of its proper divisors (222057028343808).

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

91275336456192 is an frugal number, since it uses more digits than its factorization.

91275336456192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4780 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 91275336456192 in words is "ninety-one trillion, two hundred seventy-five billion, three hundred thirty-six million, four hundred fifty-six thousand, one hundred ninety-two".