91312003200 has 384 divisors, whose sum is σ = 331152465600. Its totient is φ = 21930393600.

The previous prime is 91312003193. The next prime is 91312003201. The reversal of 91312003200 is 230021319.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×91312003200⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (91312003201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11506434 + ... + 11514366.

Almost surely, 2^91312003200 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 91312003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165576232800).

91312003200 is an abundant number, since it is smaller than the sum of its proper divisors (239840462400).

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

91312003200 is a wasteful number, since it uses less digits than its factorization.

91312003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 91312003200 its reverse (230021319), we get a palindrome (91542024519).

The spelling of 91312003200 in words is "ninety-one billion, three hundred twelve million, three thousand, two hundred".