11267486496 has 216 divisors, whose sum is σ = 37439205804. Its totient is φ = 3204956160.

The previous prime is 11267486459. The next prime is 11267486501. The reversal of 11267486496 is 69468476211.

11267486496 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 74 + 86 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9675476496 + 1592010000 = 98364^2 + 39900^2 .

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

Its product of digits (3483648) is a multiple of the sum of its prime factors (3584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3399336 + ... + 3402648.

Almost surely, 2^11267486496 is an apocalyptic number.

11267486496 is a gapful number since it is divisible by the number (16) 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 11267486496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719602902).

11267486496 is an abundant number, since it is smaller than the sum of its proper divisors (26171719308).

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

11267486496 is a wasteful number, since it uses less digits than its factorization.

11267486496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3566 counting only the distinct ones).

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

The spelling of 11267486496 in words is "eleven billion, two hundred sixty-seven million, four hundred eighty-six thousand, four hundred ninety-six".