10491890226048 has 1536 divisors, whose sum is σ = 40340326440960. Its totient is φ = 2538086400000.

The previous prime is 10491890226029. The next prime is 10491890226053. The reversal of 10491890226048 is 84062209819401.

It is a happy number.

10491890226048 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 1 + 8 + 9 + 0 + 22 + 604 + 8 = 666.

It is a super-2 number, since 2×10491890226048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10491890225985 and 10491890226003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10276091778 + ... + 10276092798.

It is an arithmetic number, because the mean of its divisors is an integer number (26263233360).

Almost surely, 2^{10491890226048} is an apocalyptic number.

10491890226048 is a gapful number since it is divisible by the number (18) 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 10491890226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170163220480).

10491890226048 is an abundant number, since it is smaller than the sum of its proper divisors (29848436214912).

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

10491890226048 is a wasteful number, since it uses less digits than its factorization.

10491890226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10491890226048 in words is "ten trillion, four hundred ninety-one billion, eight hundred ninety million, two hundred twenty-six thousand, forty-eight".