91282769424 has 640 divisors, whose sum is σ = 347634892800. Its totient is φ = 22202449920.

The previous prime is 91282769411. The next prime is 91282769437. The reversal of 91282769424 is 42496728219.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (91282769411) and next prime (91282769437).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190569217 + ... + 190569695.

It is an arithmetic number, because the mean of its divisors is an integer number (543179520).

Almost surely, 2^91282769424 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 91282769424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173817446400).

91282769424 is an abundant number, since it is smaller than the sum of its proper divisors (256352123376).

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

91282769424 is a wasteful number, since it uses less digits than its factorization.

91282769424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 856 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 91282769424 in words is "ninety-one billion, two hundred eighty-two million, seven hundred sixty-nine thousand, four hundred twenty-four".