91823661600 has 288 divisors, whose sum is σ = 336578457600. Its totient is φ = 21542016000.

The previous prime is 91823661583. The next prime is 91823661617. The reversal of 91823661600 is 616632819.

It is an interprime number because it is at equal distance from previous prime (91823661583) and next prime (91823661617).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762301 + ... + 874499.

It is an arithmetic number, because the mean of its divisors is an integer number (1168675200).

Almost surely, 2^91823661600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91823661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168289228800).

91823661600 is an abundant number, since it is smaller than the sum of its proper divisors (244754796000).

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

91823661600 is a wasteful number, since it uses less digits than its factorization.

91823661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112264 (or 112251 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 91823661600 in words is "ninety-one billion, eight hundred twenty-three million, six hundred sixty-one thousand, six hundred".