11292678222336 has 480 divisors, whose sum is σ = 40139015938560. Its totient is φ = 3122393702400.

The previous prime is 11292678222289. The next prime is 11292678222337. The reversal of 11292678222336 is 63322287629211.

11292678222336 is a `hidden beast` number, since 1 + 1 + 29 + 2 + 67 + 8 + 222 + 336 = 666.

It is a super-2 number, since 2×11292678222336² (a number of 27 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (11292678222337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20729766 + ... + 21267546.

It is an arithmetic number, because the mean of its divisors is an integer number (83622949872).

Almost surely, 2^{11292678222336} is an apocalyptic number.

11292678222336 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 11292678222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069507969280).

11292678222336 is an abundant number, since it is smaller than the sum of its proper divisors (28846337716224).

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

11292678222336 is an equidigital number, since it uses as much as digits as its factorization.

11292678222336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537853 (or 537824 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 11292678222336 in words is "eleven trillion, two hundred ninety-two billion, six hundred seventy-eight million, two hundred twenty-two thousand, three hundred thirty-six".