91635311016 has 80 divisors (see below), whose sum is σ = 259309913940. Its totient is φ = 30230184960.

The previous prime is 91635310997. The next prime is 91635311023. The reversal of 91635311016 is 61011353619.

91635311016 is a `hidden beast` number, since 9 + 1 + 635 + 3 + 1 + 1 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85083056100 + 6552254916 = 291690^2 + 80946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 666075 + ... + 791786.

Almost surely, 2^91635311016 is an apocalyptic number.

It is an amenable number.

91635311016 is an abundant number, since it is smaller than the sum of its proper divisors (167674602924).

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

91635311016 is a wasteful number, since it uses less digits than its factorization.

91635311016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457976 (or 1457963 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

It can be divided in two parts, 916353 and 11016, that added together give a square (927369 = 963²).

The spelling of 91635311016 in words is "ninety-one billion, six hundred thirty-five million, three hundred eleven thousand, sixteen".