91668278016 has 1296 divisors, whose sum is σ = 354962593440. Its totient is φ = 23410114560.

The previous prime is 91668278011. The next prime is 91668278021. The reversal of 91668278016 is 61087286619.

It is an interprime number because it is at equal distance from previous prime (91668278011) and next prime (91668278021).

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (91668278011) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1502758626 + ... + 1502758686.

It is an arithmetic number, because the mean of its divisors is an integer number (273890890).

Almost surely, 2^91668278016 is an apocalyptic number.

91668278016 is a gapful number since it is divisible by the number (96) 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 91668278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177481296720).

91668278016 is an abundant number, since it is smaller than the sum of its proper divisors (263294315424).

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

91668278016 is a wasteful number, since it uses less digits than its factorization.

91668278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 91668278016 in words is "ninety-one billion, six hundred sixty-eight million, two hundred seventy-eight thousand, sixteen".