11164954065408 has 360 divisors, whose sum is σ = 38142986325444. Its totient is φ = 3123062046720.

The previous prime is 11164954065299. The next prime is 11164954065413. The reversal of 11164954065408 is 80456045946111.

11164954065408 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 4 + 95 + 4 + 0 + 6 + 540 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10789175257344 + 375778808064 = 3284688^2 + 613008^2 .

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, 6478216 + ... + 8018552.

Almost surely, 2^{11164954065408} is an apocalyptic number.

11164954065408 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 11164954065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071493162722).

11164954065408 is an abundant number, since it is smaller than the sum of its proper divisors (26978032260036).

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

11164954065408 is a wasteful number, since it uses less digits than its factorization.

11164954065408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540396 (or 1540366 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 11164954065408 in words is "eleven trillion, one hundred sixty-four billion, nine hundred fifty-four million, sixty-five thousand, four hundred eight".