91247966208 has 768 divisors, whose sum is σ = 334938240000. Its totient is φ = 24450564096.

The previous prime is 91247966207. The next prime is 91247966237. The reversal of 91247966208 is 80266974219.

91247966208 is a `hidden beast` number, since 9 + 1 + 2 + 4 + 7 + 9 + 6 + 620 + 8 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91247966207) 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 63 ways as a sum of consecutive naturals, for example, 322430835 + ... + 322431117.

It is an arithmetic number, because the mean of its divisors is an integer number (436117500).

Almost surely, 2^91247966208 is an apocalyptic number.

91247966208 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91247966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167469120000).

91247966208 is an abundant number, since it is smaller than the sum of its proper divisors (243690273792).

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

91247966208 is a wasteful number, since it uses less digits than its factorization.

91247966208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 91247966208 in words is "ninety-one billion, two hundred forty-seven million, nine hundred sixty-six thousand, two hundred eight".