91749103040 has 336 divisors, whose sum is σ = 266891853312. Its totient is φ = 29420623872.

The previous prime is 91749102997. The next prime is 91749103063. The reversal of 91749103040 is 4030194719.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 91749102985 and 91749103003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67116437 + ... + 67117803.

It is an arithmetic number, because the mean of its divisors is an integer number (794320992).

Almost surely, 2^91749103040 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 91749103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133445926656).

91749103040 is an abundant number, since it is smaller than the sum of its proper divisors (175142750272).

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

91749103040 is a wasteful number, since it uses less digits than its factorization.

91749103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

Adding to 91749103040 its reverse (4030194719), we get a palindrome (95779297759).

The spelling of 91749103040 in words is "ninety-one billion, seven hundred forty-nine million, one hundred three thousand, forty".