11154222046080 has 256 divisors, whose sum is σ = 39630768206400. Its totient is φ = 2964954710016.

The previous prime is 11154222046067. The next prime is 11154222046103. The reversal of 11154222046080 is 8064022245111.

11154222046080 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 4 + 22 + 20 + 4 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4377492 + ... + 6439788.

Almost surely, 2^{11154222046080} is an apocalyptic number.

11154222046080 is a gapful number since it is divisible by the number (10) 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 11154222046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815384103200).

11154222046080 is an abundant number, since it is smaller than the sum of its proper divisors (28476546160320).

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

11154222046080 is a wasteful number, since it uses less digits than its factorization.

11154222046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062638 (or 2062620 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 11154222046080 in words is "eleven trillion, one hundred fifty-four billion, two hundred twenty-two million, forty-six thousand, eighty".