11174775456 has 96 divisors (see below), whose sum is σ = 31625838720. Its totient is φ = 3434517504.

The previous prime is 11174775439. The next prime is 11174775497. The reversal of 11174775456 is 65457747111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×11174775456³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222230 + ... + 1231338.

It is an arithmetic number, because the mean of its divisors is an integer number (329435820).

Almost surely, 2^11174775456 is an apocalyptic number.

11174775456 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 11174775456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812919360).

11174775456 is an abundant number, since it is smaller than the sum of its proper divisors (20451063264).

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

11174775456 is a wasteful number, since it uses less digits than its factorization.

11174775456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 10110 counting only the distinct ones).

The product of its digits is 823200, while the sum is 48.

The spelling of 11174775456 in words is "eleven billion, one hundred seventy-four million, seven hundred seventy-five thousand, four hundred fifty-six".