91486765633536 has 2496 divisors, whose sum is σ = 350707585939200. Its totient is φ = 23349471215616.

The previous prime is 91486765633451. The next prime is 91486765633573. The reversal of 91486765633536 is 63533656768419.

91486765633536 is a `hidden beast` number, since 9 + 1 + 4 + 8 + 6 + 7 + 6 + 56 + 33 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 399505526670 + ... + 399505526898.

Almost surely, 2^{91486765633536} is an apocalyptic number.

91486765633536 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 91486765633536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175353792969600).

91486765633536 is an abundant number, since it is smaller than the sum of its proper divisors (259220820305664).

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

91486765633536 is a wasteful number, since it uses less digits than its factorization.

91486765633536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 72.

The spelling of 91486765633536 in words is "ninety-one trillion, four hundred eighty-six billion, seven hundred sixty-five million, six hundred thirty-three thousand, five hundred thirty-six".