991141802496 has 160 divisors (see below), whose sum is σ = 2934699577920. Its totient is φ = 330284777472.

The previous prime is 991141802461. The next prime is 991141802509. The reversal of 991141802496 is 694208141199.

991141802496 is a `hidden beast` number, since 9 + 9 + 1 + 141 + 8 + 0 + 2 + 496 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 60305896 + ... + 60322328.

It is an arithmetic number, because the mean of its divisors is an integer number (18341872362).

Almost surely, 2^991141802496 is an apocalyptic number.

991141802496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991141802496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467349788960).

991141802496 is an abundant number, since it is smaller than the sum of its proper divisors (1943557775424).

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

991141802496 is a wasteful number, since it uses less digits than its factorization.

991141802496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20823 (or 20801 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 991141802496 in words is "nine hundred ninety-one billion, one hundred forty-one million, eight hundred two thousand, four hundred ninety-six".