11099914802064 has 320 divisors, whose sum is σ = 35004159590400. Its totient is φ = 3339780595200.

The previous prime is 11099914801981. The next prime is 11099914802071. The reversal of 11099914802064 is 46020841999011.

11099914802064 is a `hidden beast` number, since 1 + 10 + 9 + 9 + 91 + 480 + 2 + 0 + 64 = 666.

It is a super-2 number, since 2×11099914802064² (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 self number, because there is not a number n which added to its sum of digits gives 11099914802064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566804017 + ... + 566823599.

It is an arithmetic number, because the mean of its divisors is an integer number (109387998720).

Almost surely, 2^{11099914802064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11099914802064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502079795200).

11099914802064 is an abundant number, since it is smaller than the sum of its proper divisors (23904244788336).

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

11099914802064 is a wasteful number, since it uses less digits than its factorization.

11099914802064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20451 (or 20439 counting only the distinct ones).

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

The spelling of 11099914802064 in words is "eleven trillion, ninety-nine billion, nine hundred fourteen million, eight hundred two thousand, sixty-four".