91745685806400 has 672 divisors, whose sum is σ = 352289059200000. Its totient is φ = 23162084628480.

The previous prime is 91745685806393. The next prime is 91745685806459. The reversal of 91745685806400 is 460858654719.

91745685806400 is a `hidden beast` number, since 9 + 1 + 7 + 4 + 5 + 6 + 8 + 580 + 6 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1230341917 + ... + 1230416483.

Almost surely, 2^{91745685806400} is an apocalyptic number.

91745685806400 is a gapful number since it is divisible by the number (90) 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 91745685806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176144529600000).

91745685806400 is an abundant number, since it is smaller than the sum of its proper divisors (260543373393600).

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

91745685806400 is a wasteful number, since it uses less digits than its factorization.

91745685806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76116 (or 76095 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 91745685806400 in words is "ninety-one trillion, seven hundred forty-five billion, six hundred eighty-five million, eight hundred six thousand, four hundred".