11164277894784 has 192 divisors, whose sum is σ = 34501276008000. Its totient is φ = 3189376512000.

The previous prime is 11164277894761. The next prime is 11164277894881. The reversal of 11164277894784 is 48749877246111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11164277894784² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 161764284 + ... + 161833284.

It is an arithmetic number, because the mean of its divisors is an integer number (179694145875).

Almost surely, 2^{11164277894784} is an apocalyptic number.

11164277894784 is a gapful number since it is divisible by the number (14) 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 11164277894784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250638004000).

11164277894784 is an abundant number, since it is smaller than the sum of its proper divisors (23336998113216).

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

11164277894784 is an equidigital number, since it uses as much as digits as its factorization.

11164277894784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77631 (or 77612 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 69.

The spelling of 11164277894784 in words is "eleven trillion, one hundred sixty-four billion, two hundred seventy-seven million, eight hundred ninety-four thousand, seven hundred eighty-four".