11214564480 has 1024 divisors, whose sum is σ = 49351680000. Its totient is φ = 2350301184.

The previous prime is 11214564463. The next prime is 11214564497. The reversal of 11214564480 is 8446541211.

11214564480 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 5 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11214564463) and next prime (11214564497).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80680251 + ... + 80680389.

It is an arithmetic number, because the mean of its divisors is an integer number (48195000).

Almost surely, 2^11214564480 is an apocalyptic number.

11214564480 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 11214564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840000).

11214564480 is an abundant number, since it is smaller than the sum of its proper divisors (38137115520).

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

11214564480 is a wasteful number, since it uses less digits than its factorization.

11214564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

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

The spelling of 11214564480 in words is "eleven billion, two hundred fourteen million, five hundred sixty-four thousand, four hundred eighty".