91467040444416 has 780 divisors, whose sum is σ = 342299621518932. Its totient is φ = 24123119763456.

The previous prime is 91467040444349. The next prime is 91467040444543. The reversal of 91467040444416 is 61444404076419.

91467040444416 is a `hidden beast` number, since 9 + 146 + 7 + 0 + 40 + 4 + 44 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10984611004416 + 80482429440000 = 3314304^2 + 8971200^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 211124916 + ... + 211557708.

Almost surely, 2^{91467040444416} is an apocalyptic number.

91467040444416 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 91467040444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171149810759466).

91467040444416 is an abundant number, since it is smaller than the sum of its proper divisors (250832581074516).

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

91467040444416 is a wasteful number, since it uses less digits than its factorization.

91467040444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432856 (or 432818 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 91467040444416 in words is "ninety-one trillion, four hundred sixty-seven billion, forty million, four hundred forty-four thousand, four hundred sixteen".