11417360256 has 96 divisors (see below), whose sum is σ = 32878859520. Its totient is φ = 3802982400.

The previous prime is 11417360249. The next prime is 11417360257. The reversal of 11417360256 is 65206371411.

11417360256 is a `hidden beast` number, since 1 + 1 + 41 + 7 + 3 + 602 + 5 + 6 = 666.

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

It is a super-2 number, since 2×11417360256² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11417360256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11417360257) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2072001 + ... + 2077503.

It is an arithmetic number, because the mean of its divisors is an integer number (342488120).

Almost surely, 2^11417360256 is an apocalyptic number.

11417360256 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 11417360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439429760).

11417360256 is an abundant number, since it is smaller than the sum of its proper divisors (21461499264).

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

11417360256 is a wasteful number, since it uses less digits than its factorization.

11417360256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11417360256 in words is "eleven billion, four hundred seventeen million, three hundred sixty thousand, two hundred fifty-six".